Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4797
Renas T. M.Salim, N. Shuker
A ring R is considered a strongly 2-nil clean ring, or (strongly 2-NC ring for short), if each element in R can be expressed as the sum of a nilpotent and two idempotents that commute with each other. In this paper, further properties of strongly 2-NC rings are given. Furthermore, we introduce and explore a special type of strongly 2-NC ring where every unit is of order 2, which we refer to as a strongly 2-NC rings with U(R) = 2. It was proved that the Jacobson radical over a strongly 2-NC ring is a nil ideal, here, we demonstrated that the Jacobson radical over strongly 2-NC ring with U(R) = 2 is a nil ideal of characteristic 4. We compare this ring with other rings, since every SNC ring is strongly 2-NC, but not every unit of order 2, and if R is a strongly 2-NC with U(R) = 2, then R need not be SNC ring. In order to get N il(R) = 0, we added one more condition involving this ring.
{"title":"Strongly 2-Nil Clean Rings with Units of Order Two","authors":"Renas T. M.Salim, N. Shuker","doi":"10.29020/nybg.ejpam.v16i3.4797","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4797","url":null,"abstract":"A ring R is considered a strongly 2-nil clean ring, or (strongly 2-NC ring for short), if each element in R can be expressed as the sum of a nilpotent and two idempotents that commute with each other. In this paper, further properties of strongly 2-NC rings are given. Furthermore, we introduce and explore a special type of strongly 2-NC ring where every unit is of order 2, which we refer to as a strongly 2-NC rings with U(R) = 2. It was proved that the Jacobson radical over a strongly 2-NC ring is a nil ideal, here, we demonstrated that the Jacobson radical over strongly 2-NC ring with U(R) = 2 is a nil ideal of characteristic 4. We compare this ring with other rings, since every SNC ring is strongly 2-NC, but not every unit of order 2, and if R is a strongly 2-NC with U(R) = 2, then R need not be SNC ring. In order to get N il(R) = 0, we added one more condition involving this ring.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47239406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4791
Rania Saadeh
In this study, we provide the Aboodh decomposition method, a novel analytical technique. The fundamental definitions and theorems of the suggested approach are provided and analyzed. This new method is a novel mixture of the Aboodh transform and the Adomian decomposition method. The new method is used to solve nonlinear integro-differential equations (IDEs), and the solutions are given as quickly expanding series of terms. We compute the maximum absolute error and provide some figures to compare the resulting approximative solutions with the exact ones in order to demonstrate the method’s applicability and efficiency.
{"title":"An Iterative Approach to Solve Volterra Nonlinear Integral Equations","authors":"Rania Saadeh","doi":"10.29020/nybg.ejpam.v16i3.4791","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4791","url":null,"abstract":"In this study, we provide the Aboodh decomposition method, a novel analytical technique. The fundamental definitions and theorems of the suggested approach are provided and analyzed. This new method is a novel mixture of the Aboodh transform and the Adomian decomposition method. The new method is used to solve nonlinear integro-differential equations (IDEs), and the solutions are given as quickly expanding series of terms. We compute the maximum absolute error and provide some figures to compare the resulting approximative solutions with the exact ones in order to demonstrate the method’s applicability and efficiency.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46978309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4819
T. Qawasmeh
Interpolative Kannan contractions are a refinement of Kannan contraction, which is considered as one of the significant notions in fixed point theory. Gb-metric spaces is considered as a generalized concept of both concepts b-metric and G-metric spaces therefore, the significant fixed and common fixed point results of the contraction based on this concept is generalized resultsfor both concepts. The purpose of this manuscript, is to take advantage to interpolative Kannan contraction together with the notion of Ωb which equipped with Gb-metric spaces and H simulation functions to formulate two new interpolative contractions namely, (H, Ωb)-interpolative contraction for self mapping f and generalized (H, Ωb)-interpolative contraction for pair of self mappings (f1, f2). We discuss new fixed and common fixed point theorems. Moreover, to demonstrate the applicability and novelty of our theorems, we formulate numerical examples and applications to illustrate the importance of fixed point theory in applied mathematics and other sciences.
{"title":"(H, Ωb)-Interpolative Contractions in Ωb-distance Mappings with Application","authors":"T. Qawasmeh","doi":"10.29020/nybg.ejpam.v16i3.4819","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4819","url":null,"abstract":"Interpolative Kannan contractions are a refinement of Kannan contraction, which is considered as one of the significant notions in fixed point theory. Gb-metric spaces is considered as a generalized concept of both concepts b-metric and G-metric spaces therefore, the significant fixed and common fixed point results of the contraction based on this concept is generalized resultsfor both concepts. The purpose of this manuscript, is to take advantage to interpolative Kannan contraction together with the notion of Ωb which equipped with Gb-metric spaces and H simulation functions to formulate two new interpolative contractions namely, (H, Ωb)-interpolative contraction for self mapping f and generalized (H, Ωb)-interpolative contraction for pair of self mappings (f1, f2). We discuss new fixed and common fixed point theorems. Moreover, to demonstrate the applicability and novelty of our theorems, we formulate numerical examples and applications to illustrate the importance of fixed point theory in applied mathematics and other sciences.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42501243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4831
Mohamed Ahmed Sidaty
In this note, we deal with a perfect sequence space $lambda$ and a bornological convex space $E$ to introduce and study the space $lambda(E)$ of totally $lambda$-summable sequences from $E$. We prove that $lambda(E)$ is complete if and only if $lambda$ an $E$ are complete, nuclear if and only if $lambda$ an $E$ are nuclear. and we make use of a result of Rolnald C. Rosier to give a similar characterization of the nuclearity of $Lambda{E}$ of all absolutely $lambda-$ summable sequences in a locally convex $E$.
{"title":"Nuclearity of a Class of Vector-valued Sequence Spaces","authors":"Mohamed Ahmed Sidaty","doi":"10.29020/nybg.ejpam.v16i3.4831","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4831","url":null,"abstract":"In this note, we deal with a perfect sequence space $lambda$ and a bornological convex space $E$ to introduce and study the space $lambda(E)$ of totally $lambda$-summable sequences from $E$. We prove that $lambda(E)$ is complete if and only if $lambda$ an $E$ are complete, nuclear if and only if $lambda$ an $E$ are nuclear. and we make use of a result of Rolnald C. Rosier to give a similar characterization of the nuclearity of $Lambda{E}$ of all absolutely $lambda-$ summable sequences in a locally convex $E$.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44849974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4849
Hawraz N. Jabbar, Yeldez J. Subhi, Basim A. Hassan
Conjugate gradient approaches emphasise the conjugate formula. This study creates a new conjugate coefficient for the conjugate gradient approach to restore pictures using Perry’s conjugacy condition and a quadratic model. Algorithms have global convergence and descent. The new technique performed better in numerical testing. The new conjugate gradient technique outperforms the FR method. The new technique performed better in numerical testing. The new conjugate gradient technique outperforms the FR method.
{"title":"Image Impulse Noise Reduction Using a Conjugate Gradient of Alternative Parameter","authors":"Hawraz N. Jabbar, Yeldez J. Subhi, Basim A. Hassan","doi":"10.29020/nybg.ejpam.v16i3.4849","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4849","url":null,"abstract":"Conjugate gradient approaches emphasise the conjugate formula. This study creates a new conjugate coefficient for the conjugate gradient approach to restore pictures using Perry’s conjugacy condition and a quadratic model. Algorithms have global convergence and descent. The new technique performed better in numerical testing. The new conjugate gradient technique outperforms the FR method. The new technique performed better in numerical testing. The new conjugate gradient technique outperforms the FR method.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48414268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4786
Hamsa D. Saleem, Iman H. Al-Obaidi, A. Hammodat
We study three key topics in this article, including Casson fluid flow at its stagnation point, heat transfer in the current magnetic field, and thermal radiation. Several equations related to coupled mass, momentum, and energy are controlled by the mathematical model. This is accomplished by using appropriate transformations to study dimensionless partial differential equations of motion, energy, and continuity. The Adam-Bashforth method is used to solve several nonlinear dimensionless partial differential equations. The analysis is based both on analytic and numerical representations of the impact of parameters which are relevant to the analysis, such as the Casson parameter β, porosity parameter K, magnetic field M, mixed convection parameter γ, and thermal radiation R. Finally, using the Adam-Bashforth approach, we are able to determine velocity profiles as well as temperature profiles.
{"title":"Numerical Solution of Stagnation Point Flow of Non-Newtonian Fluid and Heat Transfer over a Porous Medium under Effect of Thermal Radiation and Magnetic Field","authors":"Hamsa D. Saleem, Iman H. Al-Obaidi, A. Hammodat","doi":"10.29020/nybg.ejpam.v16i3.4786","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4786","url":null,"abstract":"We study three key topics in this article, including Casson fluid flow at its stagnation point, heat transfer in the current magnetic field, and thermal radiation. Several equations related to coupled mass, momentum, and energy are controlled by the mathematical model. This is accomplished by using appropriate transformations to study dimensionless partial differential equations of motion, energy, and continuity. The Adam-Bashforth method is used to solve several nonlinear dimensionless partial differential equations. The analysis is based both on analytic and numerical representations of the impact of parameters which are relevant to the analysis, such as the Casson parameter β, porosity parameter K, magnetic field M, mixed convection parameter γ, and thermal radiation R. Finally, using the Adam-Bashforth approach, we are able to determine velocity profiles as well as temperature profiles.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42773559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4784
Sadia Chanan, Nazia Irshad, Afshan Khan
The aim of this article is to give generalization of Jensen Mercer inequality on deltaintegral along with applications to Ky Fan inequality and related results.
{"title":"Generalization of Jensen Mercer inequality on Delta integral with Applications","authors":"Sadia Chanan, Nazia Irshad, Afshan Khan","doi":"10.29020/nybg.ejpam.v16i3.4784","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4784","url":null,"abstract":"The aim of this article is to give generalization of Jensen Mercer inequality on deltaintegral along with applications to Ky Fan inequality and related results.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48124532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4529
Hwajoon Kim, A. Rathie, Y. Geum
The complex dynamical analysis of the cubic-order iterative family is proposed to draw the fractal images via M"{o}bius conjugacy map applied to a quadratic polynomial $(z-A) (z-B)$. The resulting dynamics is clearly visualized through various stability surfaces and parameter spaces using Mathematica.
{"title":"A Family of Optimal Cubic-Order Multiple-root Solvers and Their Dynamics","authors":"Hwajoon Kim, A. Rathie, Y. Geum","doi":"10.29020/nybg.ejpam.v16i3.4529","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4529","url":null,"abstract":"The complex dynamical analysis of the cubic-order iterative family is proposed to draw the fractal images via M\"{o}bius conjugacy map applied to a quadratic polynomial $(z-A) (z-B)$. The resulting dynamics is clearly visualized through various stability surfaces and parameter spaces using Mathematica.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49323860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4828
Rona Jane Fortosa, S. Canoy
Let $G$ be a connected graph. A function $f:V(G)rightarrow {0,1,2}$ is a textit{convex Roman dominating function} (or CvRDF) if every vertex $u$ for which $f(u)=0$ is adjacent to at least one vertex $v$ for which $f(v)=2$ and $V_1 cup V_2$ is convex. The weight of a convex Roman dominating function $f$, denoted by $omega_{G}^{CvR}(f)$, is given by $omega_{G}^{CvR}(f)=sum_{v in V(G)}f(v)$. The minimum weight of a CvRDF on $G$, denoted by $gamma_{CvR}(G)$, is called the textit{convex Roman domination number} of $G$. In this paper, we determine the convex Roman domination numbers of some graphs and give some realization results involving convex Roman domination, connected Roman domination, and convex domination numbers.
{"title":"Convex Roman Dominating Function in Graphs","authors":"Rona Jane Fortosa, S. Canoy","doi":"10.29020/nybg.ejpam.v16i3.4828","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4828","url":null,"abstract":"Let $G$ be a connected graph. A function $f:V(G)rightarrow {0,1,2}$ is a textit{convex Roman dominating function} (or CvRDF) if every vertex $u$ for which $f(u)=0$ is adjacent to at least one vertex $v$ for which $f(v)=2$ and $V_1 cup V_2$ is convex. The weight of a convex Roman dominating function $f$, denoted by $omega_{G}^{CvR}(f)$, is given by $omega_{G}^{CvR}(f)=sum_{v in V(G)}f(v)$. The minimum weight of a CvRDF on $G$, denoted by $gamma_{CvR}(G)$, is called the textit{convex Roman domination number} of $G$. In this paper, we determine the convex Roman domination numbers of some graphs and give some realization results involving convex Roman domination, connected Roman domination, and convex domination numbers.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46725140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-30DOI: 10.29020/nybg.ejpam.v16i3.4732
C. Boonpok, P. Pue-on
Our main purpose is to introduce the concepts of upper and lower $sbeta(star)$-continuous multifunctions. In particular, some characterizations of upper and lower $sbeta(star)$-continuous multifunctions are investigated. Moreover, the relationships between $sbeta(star)$-continuous multifunctions and almost $sbeta(star)$-continuous multifunctions are discussed.
{"title":"Upper and Lower $sbeta(star)$-continuous Multifunctions","authors":"C. Boonpok, P. Pue-on","doi":"10.29020/nybg.ejpam.v16i3.4732","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v16i3.4732","url":null,"abstract":"Our main purpose is to introduce the concepts of upper and lower $sbeta(star)$-continuous multifunctions. In particular, some characterizations of upper and lower $sbeta(star)$-continuous multifunctions are investigated. Moreover, the relationships between $sbeta(star)$-continuous multifunctions and almost $sbeta(star)$-continuous multifunctions are discussed.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49249631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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