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Communications in Mathematical Analysis最新文献

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On Sum and Stability of Continuous $G$-Frames 连续$G$-框架的和与稳定性
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2018.90101.472
Azam Yousefzadeheyni, M. R. Abdollahpour
{"title":"On Sum and Stability of Continuous $G$-Frames","authors":"Azam Yousefzadeheyni, M. R. Abdollahpour","doi":"10.22130/SCMA.2018.90101.472","DOIUrl":"https://doi.org/10.22130/SCMA.2018.90101.472","url":null,"abstract":"In this paper, we give some conditions under which the finite sum of continuous $g$-frames is again a continuous $g$-frame. We give necessary and sufficient conditions for the continuous $g$-frames $Lambda=left{Lambda_w in Bleft(H,K_wright): win Omegaright}$ and $Gamma=left{Gamma_w in Bleft(H,K_wright): win Omegaright}$ and operators $U$ and $V$ on $H$ such that $Lambda U+Gamma V={Lambda_w U+Gamma_w V in Bleft(H,K_wright): win Omega}$ is again a continuous $g$-frame. Moreover, we obtain some sufficient conditions under which the finite sum of continuous $g$-frames are stable under small perturbations.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"6 1","pages":"157-169"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213633","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}
引用次数: 0
Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces 加权Bloch空间上微分复合算子差分范数和本质范数的估计
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2019.101527.551
M. Hassanloo
{"title":"Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces","authors":"M. Hassanloo","doi":"10.22130/SCMA.2019.101527.551","DOIUrl":"https://doi.org/10.22130/SCMA.2019.101527.551","url":null,"abstract":"Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"109-124"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213654","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}
引用次数: 0
On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$beta$-Banach Spaces 拟-$ β $- banach空间中广义根型三次泛函方程的近似解
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2018.87694.451
P. Kaskasem, Aekarach Janchada, C. Klin-eam
{"title":"On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$beta$-Banach Spaces","authors":"P. Kaskasem, Aekarach Janchada, C. Klin-eam","doi":"10.22130/SCMA.2018.87694.451","DOIUrl":"https://doi.org/10.22130/SCMA.2018.87694.451","url":null,"abstract":"In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation[    fleft( sqrt[3]{ax^3 + by^3}right)=af(x) + bf(y),]    where $a,b in mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generalized radical cubic functional equations in $(beta,p)$-Banach spaces.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"69-90"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213222","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}
引用次数: 0
Inequalities of Ando's Type for $n$-convex Functions n -凸函数的Ando型不等式
Communications in Mathematical Analysis Pub Date : 2019-12-21 DOI: 10.22130/SCMA.2018.94775.506
R. Mikić, J. Pečarić
{"title":"Inequalities of Ando's Type for $n$-convex Functions","authors":"R. Mikić, J. Pečarić","doi":"10.22130/SCMA.2018.94775.506","DOIUrl":"https://doi.org/10.22130/SCMA.2018.94775.506","url":null,"abstract":"By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"139-159"},"PeriodicalIF":0.0,"publicationDate":"2019-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46681842","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}
引用次数: 0
Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra 一元巴拿赫代数中具有元的上三角矩阵的联合和广义谱半径
Communications in Mathematical Analysis Pub Date : 2019-12-18 DOI: 10.22130/SCMA.2018.77951.362
Hamideh Mohammadzadehkan, A. Ebadian, K. Azar
{"title":"Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra","authors":"Hamideh Mohammadzadehkan, A. Ebadian, K. Azar","doi":"10.22130/SCMA.2018.77951.362","DOIUrl":"https://doi.org/10.22130/SCMA.2018.77951.362","url":null,"abstract":"In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*left(Sigmaright)= hat{r}left(Sigmaright)$, but for a bounded set of  upper triangular matrices with entries in a Banach algebra($Sigma$), $r_*left(Sigmaright)neqhat{r}left(Sigmaright)$. We  investigate when the set is  defective or not and equivalent properties for having a norm equal to jsr, too.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"175-188"},"PeriodicalIF":0.0,"publicationDate":"2019-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44842071","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}
引用次数: 0
Some Results on the Field of Values of Matrix Polynomials 关于矩阵多项式值域的一些结果
Communications in Mathematical Analysis Pub Date : 2019-12-17 DOI: 10.22130/SCMA.2018.88329.461
Z. Azimi, G. Aghamollaei
{"title":"Some Results on the Field of Values of Matrix Polynomials","authors":"Z. Azimi, G. Aghamollaei","doi":"10.22130/SCMA.2018.88329.461","DOIUrl":"https://doi.org/10.22130/SCMA.2018.88329.461","url":null,"abstract":"In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied.  Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of values of basic A-factor block circulant matrices are investigated.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"55-68"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49241165","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}
引用次数: 0
Common Fixed Point Results on Complex-Valued $S$-Metric Spaces 复值$S$-度量空间上的公共不动点结果
Communications in Mathematical Analysis Pub Date : 2019-12-17 DOI: 10.22130/SCMA.2018.92986.488
N. Taş, N. Özgür
{"title":"Common Fixed Point Results on Complex-Valued $S$-Metric Spaces","authors":"N. Taş, N. Özgür","doi":"10.22130/SCMA.2018.92986.488","DOIUrl":"https://doi.org/10.22130/SCMA.2018.92986.488","url":null,"abstract":"Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems using different techniques by means of new generalized contractive conditions and the notion of the closed ball. Our results generalize and improve some known fixed point results. We provide some illustrative examples to show the validity of our definitions and fixedpoint theorems.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"83-105"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47563894","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}
引用次数: 5
Generalized Continuous Frames for Operators 算子的广义连续框架
Communications in Mathematical Analysis Pub Date : 2019-12-17 DOI: 10.22130/SCMA.2018.97329.523
Chander Shekhar, Sunayana Bhati, G. S. Rathore
{"title":"Generalized Continuous Frames for Operators","authors":"Chander Shekhar, Sunayana Bhati, G. S. Rathore","doi":"10.22130/SCMA.2018.97329.523","DOIUrl":"https://doi.org/10.22130/SCMA.2018.97329.523","url":null,"abstract":"In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ with respect to $ mu $ is given. Also, a sufficient condition for a generalized continuous $K$-frame is given.  Further, among other results, we prove that generalized continuous $K$-frames are invariant under a linear  homeomorphism. Finally, keeping in mind the importance of perturbation theory in various branches of applied mathematics, we study perturbation of $K$-frames and obtain conditions for the stability of generalized continuous $K$-frames.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45987630","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}
引用次数: 0
Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions 完备拟度量空间上c类和a类函数的不动点定理
Communications in Mathematical Analysis Pub Date : 2019-12-16 DOI: 10.22130/SCMA.2019.97961.527
Mensur Tugba Yalcin, H. Simsek, I. Altun
{"title":"Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions","authors":"Mensur Tugba Yalcin, H. Simsek, I. Altun","doi":"10.22130/SCMA.2019.97961.527","DOIUrl":"https://doi.org/10.22130/SCMA.2019.97961.527","url":null,"abstract":"In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the quasi metric does not provide the symmetry property. Finally, we show that our main results includes many fixed point theorems presented on both complete metric and complete quasi metric spaces in the literature. We also provide an illustrative example to show importance of our results.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"23-36"},"PeriodicalIF":0.0,"publicationDate":"2019-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44209520","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}
引用次数: 0
A New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with Applications 多值非扩张映射与等式问题的一种新迭代算法及其应用
Communications in Mathematical Analysis Pub Date : 2019-12-16 DOI: 10.22130/SCMA.2019.93964.499
T. Sow
{"title":"A New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with Applications","authors":"T. Sow","doi":"10.22130/SCMA.2019.93964.499","DOIUrl":"https://doi.org/10.22130/SCMA.2019.93964.499","url":null,"abstract":"In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space. We prove that the sequence generated by the proposed method converges strongly to a common element of the set of solutions of equilibruim problems and the set of fixed points of multivalued nonexpansive mappings which is also the minimum-norm element of the above two sets. Finally, some applications of our results to optimization problems with constraint and the split feasibility problem are given. No compactness assumption is made. The methods in the paper are novel and different from those in early and recent literature.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"17 1","pages":"1-22"},"PeriodicalIF":0.0,"publicationDate":"2019-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45701336","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}
引用次数: 0
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