Pub Date : 2021-10-30DOI: 10.22130/SCMA.2021.129537.815
Asif R Khan, Hira Nasir, Syed Sikander Shirazi
The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type inequalities in $L_m,, mgeq 1$ norm of differentiable functions. Also, we give some applications of the probability density function.
{"title":"Weighted Cebysev Type Inequalities for Double Integrals and Application","authors":"Asif R Khan, Hira Nasir, Syed Sikander Shirazi","doi":"10.22130/SCMA.2021.129537.815","DOIUrl":"https://doi.org/10.22130/SCMA.2021.129537.815","url":null,"abstract":"The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type inequalities in $L_m,, mgeq 1$ norm of differentiable functions. Also, we give some applications of the probability density function.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48993311","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 : 2021-10-17DOI: 10.22130/SCMA.2021.526111.916
A. C. Guler
The aim of this paper is to define and study the concept of $mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space. We also obtained some basic properties of $mathcal{I}$-convergence. In fuzzy cone normed space, $mathcal{I}$-limit point and $mathcal{I}$-cluster point were defined and studied.
本文的目的是定义和研究模糊锥赋范空间中$mathcal{I}$-收敛的概念，它是R. Saadati和S. M. Vaezpour型模糊正规空间的推广。我们还得到了$mathcal{I}$-收敛的一些基本性质。在模糊锥赋范空间中，定义并研究了$mathcal{I}$-极限点和$mathcal{I}$-聚类点。
{"title":"$mathcal{I}$-convergence in Fuzzy Cone Normed Spaces","authors":"A. C. Guler","doi":"10.22130/SCMA.2021.526111.916","DOIUrl":"https://doi.org/10.22130/SCMA.2021.526111.916","url":null,"abstract":"The aim of this paper is to define and study the concept of $mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space. We also obtained some basic properties of $mathcal{I}$-convergence. In fuzzy cone normed space, $mathcal{I}$-limit point and $mathcal{I}$-cluster point were defined and studied.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46460086","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 : 2021-10-17DOI: 10.22130/SCMA.2021.137259.856
M. Sezen
In this paper, we introduce new concepts of fuzzy $(gamma,beta )$-contraction and prove some fixed point results for fuzzy $(gamma,beta )$-contractions in complete non-Archimedean fuzzy metric spaces. Later, we define a fuzzy $(gamma,beta )$-weak contraction and establish some new fixed point results for fuzzy $(gamma,beta )$-weak contractions. Also, some examples are supplied in order to support the useability of ourresults.
{"title":"Fixed Point Theorems for Fuzzy $(gamma,beta)$-Contractions in non-Archimedean Fuzzy Metric Spaces","authors":"M. Sezen","doi":"10.22130/SCMA.2021.137259.856","DOIUrl":"https://doi.org/10.22130/SCMA.2021.137259.856","url":null,"abstract":"In this paper, we introduce new concepts of fuzzy $(gamma,beta )$-contraction and prove some fixed point results for fuzzy $(gamma,beta )$-contractions in complete non-Archimedean fuzzy metric spaces. Later, we define a fuzzy $(gamma,beta )$-weak contraction and establish some new fixed point results for fuzzy $(gamma,beta )$-weak contractions. Also, some examples are supplied in order to support the useability of ourresults.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45353385","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 : 2021-09-15DOI: 10.22130/SCMA.2021.141881.880
C. Garodia, I. Uddin
In this paper, we obtain a new modified iteration process in the setting of CAT(0) spaces involving generalized $alpha$-nonexpansive mapping. We prove strong and $Delta$ convergence results for approximating fixed point via newly defined iteration process. Further, we reconfirm our results by non trivial example and tables.
{"title":"On Approximating Fixed Point in CAT(0) Spaces","authors":"C. Garodia, I. Uddin","doi":"10.22130/SCMA.2021.141881.880","DOIUrl":"https://doi.org/10.22130/SCMA.2021.141881.880","url":null,"abstract":"In this paper, we obtain a new modified iteration process in the setting of CAT(0) spaces involving generalized $alpha$-nonexpansive mapping. We prove strong and $Delta$ convergence results for approximating fixed point via newly defined iteration process. Further, we reconfirm our results by non trivial example and tables.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47213433","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 : 2021-09-15DOI: 10.22130/SCMA.2021.127385.797
Ilyas Boukaroura, S. Djabi, S. Khelladi
In this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $theta $ which may be interpreted as the absolute temperature. The boundary conditions considered here as displacement-traction conditions as well as unilateral contact conditions. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem, reducing the isotherm problem to an ordinary differential equation in a Hilbert space.
{"title":"Boundary Value Problems in Thermo Viscoplasticity","authors":"Ilyas Boukaroura, S. Djabi, S. Khelladi","doi":"10.22130/SCMA.2021.127385.797","DOIUrl":"https://doi.org/10.22130/SCMA.2021.127385.797","url":null,"abstract":"In this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $theta $ which may be interpreted as the absolute temperature. The boundary conditions considered here as displacement-traction conditions as well as unilateral contact conditions. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem, reducing the isotherm problem to an ordinary differential equation in a Hilbert space.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46360956","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 : 2021-08-01DOI: 10.22130/SCMA.2021.115697.690
N. Eftekhari, A. Eshkaftaki
The aim of this work is to characterize all bounded linear operators $T:lpirightarrowlpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $lpi$ are in the class of such operators, where $2neq pin [1,infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.
{"title":"On Some Linear Operators Preserving Disjoint Support Property","authors":"N. Eftekhari, A. Eshkaftaki","doi":"10.22130/SCMA.2021.115697.690","DOIUrl":"https://doi.org/10.22130/SCMA.2021.115697.690","url":null,"abstract":"The aim of this work is to characterize all bounded linear operators $T:lpirightarrowlpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $lpi$ are in the class of such operators, where $2neq pin [1,infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42269452","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 : 2021-08-01DOI: 10.22130/SCMA.2021.120867.876
A. El-Sayed, H. Hashem, S. Al-Issa
In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.
{"title":"Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra","authors":"A. El-Sayed, H. Hashem, S. Al-Issa","doi":"10.22130/SCMA.2021.120867.876","DOIUrl":"https://doi.org/10.22130/SCMA.2021.120867.876","url":null,"abstract":"In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43944711","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 : 2021-08-01DOI: 10.22130/SCMA.2021.520720.884
Majid Zamani, S. M. Vaezpour, Erfan Salavati
The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.
{"title":"Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces","authors":"Majid Zamani, S. M. Vaezpour, Erfan Salavati","doi":"10.22130/SCMA.2021.520720.884","DOIUrl":"https://doi.org/10.22130/SCMA.2021.520720.884","url":null,"abstract":"The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45274809","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 : 2021-08-01DOI: 10.22130/SCMA.2021.137940.870
Maryam Mohammadrezaee, M. Rashidi-Kouchi, A. Nazari, A. Oloomi
In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.
{"title":"Woven g-Fusion Frames in Hilbert Spaces","authors":"Maryam Mohammadrezaee, M. Rashidi-Kouchi, A. Nazari, A. Oloomi","doi":"10.22130/SCMA.2021.137940.870","DOIUrl":"https://doi.org/10.22130/SCMA.2021.137940.870","url":null,"abstract":"In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41800752","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 : 2021-06-09DOI: 10.22130/SCMA.2021.132155.841
Deeplai Khurana, R. Garg, Sarika Verma, G. Murugusundaramoorthy
We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity. We prove that the class is closed under harmonic convolutions and convex combinations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.
利用乘子变换定义了一价调和映射的一个新子类，研究了它的充要条件、极值点、星形、凸半径等性质。证明了该类在调和卷积和凸组合下是闭的。最后，我们证明了该类在调和函数的berndii - libera - livingston积分下是不变的。
{"title":"A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation","authors":"Deeplai Khurana, R. Garg, Sarika Verma, G. Murugusundaramoorthy","doi":"10.22130/SCMA.2021.132155.841","DOIUrl":"https://doi.org/10.22130/SCMA.2021.132155.841","url":null,"abstract":"We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity. We prove that the class is closed under harmonic convolutions and convex combinations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45229874","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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