In this paper, we study $N(k)-$contact metric manifolds endowed with a torse-forming vector field and give some characterizations for such manifolds. Then, we deal with $N(k)-$contact metric manifolds admitting a Ricci soliton and find that the potential vector field $V$ of the Ricci soliton is a constant multiple of $xi$. Also, we obtain a necessary condition for a torse-forming vector field to be recurrent and Killing on $M$.
{"title":"Certain Results on $N(k)-$Contact Metric Manifolds and Torse-Forming Vector Fields","authors":"H. Yoldaş","doi":"10.30495/JME.V0I0.1496","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1496","url":null,"abstract":"In this paper, we study $N(k)-$contact metric manifolds endowed with a torse-forming vector field and give some characterizations for such manifolds. Then, we deal with $N(k)-$contact metric manifolds admitting a Ricci soliton and find that the potential vector field $V$ of the Ricci soliton is a constant multiple of $xi$. Also, we obtain a necessary condition for a torse-forming vector field to be recurrent and Killing on $M$.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45226441","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}
Nonlocal functional fractional differential inclusions with impulses effect in Banach spaces are studied. This paper deals with the case when the multivalued function is lower semicontinuous and nonconvex as well as the linear term generates a semigroup which is not,in general, compact. Our results are obtained by using NCHM ( noncompactness Hausdorff measure), multivalued properties and theorems of fixed point. We finally present an example to lighten our results.
{"title":"Some new result for functional fractional differential inclusion with impulse effect","authors":"N. Alsarori, K. Ghadle","doi":"10.30495/JME.V0I0.1566","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1566","url":null,"abstract":"Nonlocal functional fractional differential inclusions with impulses effect in Banach spaces are studied. This paper deals with the case when the multivalued function is lower semicontinuous and nonconvex as well as the linear term generates a semigroup which is not,in general, compact. Our results are obtained by using NCHM ( noncompactness Hausdorff measure), multivalued properties and theorems of fixed point. We finally present an example to lighten our results.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48363698","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}
The concept of a $w$-distance on a metric space has been introduced by Kada et al. cite{Kst}. They generalized Caristi fixed point theorem, Ekeland variational principle and the nonconvex minimization theorem according to Takahashi. In the present paper, we first introduce the notion of quasi $w$-distances in quasi-metric spaces and then we will prove some fixed point theorems for $mathcal{L}$-contractive mappings in the class of quasi-metric spaces with $w$-distances via a control function introduced by Jleli and Samet cite{JL}. These results generalize many fixed point theorems by Kada et al. cite{Kst}, Suzuki cite{S}, Ciri'{c} cite{ciric}, Aydi et al. cite{Aydbarlak}, Abbas and Rhoades cite{Ar}, Kannan cite{Kannan}, Hicks and Rhoades cite{H}, Du cite{D}, Lakzian et al. cite{LAR}, Lakzian and Rhoades cite{LR} and others. Some examples in support of the given concepts and presented results.
{"title":"Fixed points result via $mathcal{L}$-contractions on quasi $w$-distances","authors":"S. Barootkoob, H. Lakzian","doi":"10.30495/JME.V0I0.1507","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1507","url":null,"abstract":"The concept of a $w$-distance on a metric space has been introduced by Kada et al. cite{Kst}. They generalized Caristi fixed point theorem, Ekeland variational principle and the nonconvex minimization theorem according to Takahashi. In the present paper, we first introduce the notion of quasi $w$-distances in quasi-metric spaces and then we will prove some fixed point theorems for $mathcal{L}$-contractive mappings in the class of quasi-metric spaces with $w$-distances via a control function introduced by Jleli and Samet cite{JL}. These results generalize many fixed point theorems by Kada et al. cite{Kst}, Suzuki cite{S}, Ciri'{c} cite{ciric}, Aydi et al. cite{Aydbarlak}, Abbas and Rhoades cite{Ar}, Kannan cite{Kannan}, Hicks and Rhoades cite{H}, Du cite{D}, Lakzian et al. cite{LAR}, Lakzian and Rhoades cite{LR} and others. Some examples in support of the given concepts and presented results.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43121185","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}
The main objective of this paper is to propose a new analytical method called the inverse fractional Aboodh transform method for solving fractional differential equations. Fractional derivatives are taken in the Riemann-Liouville and Caputo sense. The main advantages of this method it that it is direct and concise. Various examples are given to shows that the proposed method is very efficient and accurate.
{"title":"Theories and Analytical Solutions for Fractional Differential Equations","authors":"Ali Khalouta, A. Kadem","doi":"10.30495/JME.V0I0.1556","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1556","url":null,"abstract":"The main objective of this paper is to propose a new analytical method called the inverse fractional Aboodh transform method for solving fractional differential equations. Fractional derivatives are taken in the Riemann-Liouville and Caputo sense. The main advantages of this method it that it is direct and concise. Various examples are given to shows that the proposed method is very efficient and accurate.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46980502","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}
In this paper, we generalize the concepts of para and quasi topological MV -algebras, which was first introduced by Najafi et al. in 2017, to BL -algebras as para and quasi topological BL -algebras and elaborate these concepts via some examples. We further derive and prove some theorems by employing pre-filters and a fundamental system of neighborhoods.
{"title":"Some results on topological BL-algebras","authors":"Fateme Alinaghian, F. K. Haghani, S. Heidarian","doi":"10.30495/JME.V0I0.1456","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1456","url":null,"abstract":"In this paper, we generalize the concepts of para and quasi topological MV -algebras, which was first introduced by Najafi et al. in 2017, to BL -algebras as para and quasi topological BL -algebras and elaborate these concepts via some examples. We further derive and prove some theorems by employing pre-filters and a fundamental system of neighborhoods.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49045855","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}
The aim of this paper is to introduce an equivalence relation on the space of real valued statistically convergence sequences, Cst, and an inner product on the set of its equivalence classes. We equip Cst with the induced J- metric, dJ , by the given inner product. We prove that Cst is a complete J-metric space. We also show that the space of all real valued convergent sequences is a dense subspace of (Cst, dJ ).
{"title":"On the Space of Real Valued Statistically Convergent Sequences","authors":"Y. Sohooly, K. Jahedi, A. Alikhani-Koopaei","doi":"10.30495/JME.V0I0.1572","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1572","url":null,"abstract":"The aim of this paper is to introduce an equivalence relation on the space of real valued statistically convergence sequences, Cst, and an inner product on the set of its equivalence classes. We equip Cst with the induced J- metric, dJ , by the given inner product. We prove that Cst is a complete J-metric space. We also show that the space of all real valued convergent sequences is a dense subspace of (Cst, dJ ).","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48493595","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}
The aim of this paper is to study unitary regular modules on commutative rings with identity. Regularity accompanied by cocyclic property results in some prime-related conclusions on both modules and rings. Further to this, regularity addresses also radical property of submodules and they are related closely. This property not only affects the modules on ring $R$ but also restricts R to totally idempotent one.
{"title":"Some new results on regular modules","authors":"L. Oftadeh, N. Amiri","doi":"10.30495/JME.V0I0.1614","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1614","url":null,"abstract":"The aim of this paper is to study unitary regular modules on commutative rings with identity. Regularity accompanied by cocyclic property results in some prime-related conclusions on both modules and rings. Further to this, regularity addresses also radical property of submodules and they are related closely. This property not only affects the modules on ring $R$ but also restricts R to totally idempotent one.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44872073","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}
In this paper, we discuss the periodicity problems in the finitely generated algebraic structures and exhibit their natural sources in the theory of invariants of finite groups and it forms an interesting and relatively self-contained nook in the imposing edifice of group theory. One of the deepest and important results of the related theory of finite groups is a complete classification of all periodic groups, that is, the finite groups with periodic properties. If an integer be $kgeq 2$, let $S$ will be a finite $k$-generated as well as non-associative algebraic structure $S= $, where $A=lbrace a_{1}, a_{2},dots, a_{k}rbrace$, and the sequence $$x_{i}=left{ begin{array}{ll} a_{i}, & 1leq ileq k, x_{i-k}(x_{i-k+1}(ldots(x_{i-3}(x_{i-2}x_{i-1}))ldots)), & i>k, end{array} right. $$ is called the $k$-nacci sequence of $S$ with respect to the generating set $A$, as denoted in $k_{A}(S)$. When $k_{A}(S)$ is periodic, we will use the length of the period of the periodicity length of $S$ proportional to $A$ in $LEN_{A}(S)$ and the minimum of the positive integers of $LEN_A(S)$ will be mentioned as periodicity invariant of $S$, denoted in $lambda_k(S)$. However, this invariant has been studied for groups and semigroups during the years as well as the associative property of $S$ where above sequence was reduced to $x_i=x_{i-k}x_{i-k+1}dots x_{i-3}x_{i-2}x_{i-1}$, for every $igeq k+1$. Thus, we attempt to give explicit upper bounds for the periodicity invariant of two infinite classes of finite non-associative $3$-generated algebraic structures. Moreover, two classes of non-isomorphic Moufang loops of the same periodicity length were obtained in the study.
{"title":"Periodicity invariant of finitely generated algebraic structures","authors":"Behnam Azizi, H. Doostie","doi":"10.30495/JME.V0I0.1266","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1266","url":null,"abstract":"In this paper, we discuss the periodicity problems in the finitely generated algebraic structures and exhibit their natural sources in the theory of invariants of finite groups and it forms an interesting and relatively self-contained nook in the imposing edifice of group theory. One of the deepest and important results of the related theory of finite groups is a complete classification of all periodic groups, that is, the finite groups with periodic properties. If an integer be $kgeq 2$, let $S$ will be a finite $k$-generated as well as non-associative algebraic structure $S= $, where $A=lbrace a_{1}, a_{2},dots, a_{k}rbrace$, and the sequence $$x_{i}=left{ begin{array}{ll} a_{i}, & 1leq ileq k, x_{i-k}(x_{i-k+1}(ldots(x_{i-3}(x_{i-2}x_{i-1}))ldots)), & i>k, end{array} right. $$ is called the $k$-nacci sequence of $S$ with respect to the generating set $A$, as denoted in $k_{A}(S)$. When $k_{A}(S)$ is periodic, we will use the length of the period of the periodicity length of $S$ proportional to $A$ in $LEN_{A}(S)$ and the minimum of the positive integers of $LEN_A(S)$ will be mentioned as periodicity invariant of $S$, denoted in $lambda_k(S)$. However, this invariant has been studied for groups and semigroups during the years as well as the associative property of $S$ where above sequence was reduced to $x_i=x_{i-k}x_{i-k+1}dots x_{i-3}x_{i-2}x_{i-1}$, for every $igeq k+1$. Thus, we attempt to give explicit upper bounds for the periodicity invariant of two infinite classes of finite non-associative $3$-generated algebraic structures. Moreover, two classes of non-isomorphic Moufang loops of the same periodicity length were obtained in the study.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47356247","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}
We study a family of harmonic univalent functions using an operator involving q-derivative and hypergeometric function. Pre- cisely we obtain a necessary and sucient condition for functions in this family. Extreme points and convexity of such functions are also introduced.
{"title":"Harmonic univalent functions related to q-derivative based on basic hypergeometric function","authors":"S. Najafzadeh, Z. Dehdast, M. Foroutan","doi":"10.30495/JME.V0I0.1283","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1283","url":null,"abstract":"We study a family of harmonic univalent functions using an operator involving q-derivative and hypergeometric function. Pre- cisely we obtain a necessary and sucient condition for functions in this family. Extreme points and convexity of such functions are also introduced.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49079177","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}
This paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k,s,h)-Riemann-Liouville and the (k,h)-Hadamard fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.
{"title":"The (k,s,h)-Riemann-Liouville and the (k,s)-Hadamard Operators: New Applications","authors":"M. Bezziou, Z. Dahmani, M. Sarıkaya","doi":"10.30495/JME.V0I0.1478","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1478","url":null,"abstract":"This paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k,s,h)-Riemann-Liouville and the (k,h)-Hadamard fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47188138","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：