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Communications in Mathematical Analysis最新文献

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Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations 具有向量值度量的广义度量空间中的一些不动点定理及其在线性和非线性矩阵方程中的应用
Communications in Mathematical Analysis Pub Date : 2020-06-01 DOI: 10.22130/SCMA.2018.86797.440
H. Hosseinzadeh
{"title":"Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations","authors":"H. Hosseinzadeh","doi":"10.22130/SCMA.2018.86797.440","DOIUrl":"https://doi.org/10.22130/SCMA.2018.86797.440","url":null,"abstract":"Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself. Moreover, we show that a nonexpansive mapping on a partially ordered Hilbert space has a fixed point lying in  the unit ball of  the Hilbert space. Some applications for linear and nonlinear matrix equations are given.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42442659","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
Use of the Shearlet Transform and Transfer Learning in Offline Handwritten Signature Verification and Recognition Shearlet变换和迁移学习在离线手写签名验证与识别中的应用
Communications in Mathematical Analysis Pub Date : 2020-03-03 DOI: 10.22130/SCMA.2019.99098.536
A. Foroozandeh, A. A. Hemmat, H. Rabbani
{"title":"Use of the Shearlet Transform and Transfer Learning in Offline Handwritten Signature Verification and Recognition","authors":"A. Foroozandeh, A. A. Hemmat, H. Rabbani","doi":"10.22130/SCMA.2019.99098.536","DOIUrl":"https://doi.org/10.22130/SCMA.2019.99098.536","url":null,"abstract":"Despite the growing growth of technology, handwritten signature has been selected as the first option between biometrics by users. In this paper, a new methodology for offline handwritten signature verification and recognition based on the Shearlet transform and transfer learning is proposed. Since, a large percentage of handwritten signatures are composed of curves and the performance of a signature verification/recognition system is directly related to the edge structures, subbands of shearlet transform of signature images are good candidates for input information to the system. Furthermore, by using transfer learning of some pre-trained models, appropriate features would be extracted. In this study, four pre-trained models have been used: SigNet and SigNet-F (trained on offline signature datasets), VGG16 and VGG19 (trained on ImageNet dataset). Experiments have been conducted using three datasets: UTSig, FUM-PHSD and MCYT-75. Obtained experimental results, in comparison with the literature, verify the effectiveness of the presented method in both signature verification and signature recognition.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44811763","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: 3
Vector Optimization Problems and Generalized Vector Variational-Like Inequalities 向量优化问题与广义向量类变分不等式
Communications in Mathematical Analysis Pub Date : 2020-01-04 DOI: 10.22130/SCMA.2018.85895.433
I. Sadeqi, S. Nadi
{"title":"Vector Optimization Problems and Generalized Vector Variational-Like Inequalities","authors":"I. Sadeqi, S. Nadi","doi":"10.22130/SCMA.2018.85895.433","DOIUrl":"https://doi.org/10.22130/SCMA.2018.85895.433","url":null,"abstract":"In this paper, some properties of  pseudoinvex functions, defined by means of  limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality,  the Stampacchia vector variational-like inequality, and the  weak formulations of these two inequalities  defined by means of limiting subdifferential are studied. Moreover, some relationships  between the vector variational-like inequalities and vector optimization problems are established.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46858631","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 Preserving Properties of Linear Maps on $C^{*}$-algebras $C^{*}$-代数上线性映射的保留性质
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2019.107553.607
F. Golfarshchi, A. A. Khalilzadeh
{"title":"On Preserving Properties of Linear Maps on $C^{*}$-algebras","authors":"F. Golfarshchi, A. A. Khalilzadeh","doi":"10.22130/SCMA.2019.107553.607","DOIUrl":"https://doi.org/10.22130/SCMA.2019.107553.607","url":null,"abstract":"Let $A$ and $B$ be two unital $C^{*}$-algebras and $varphi:A rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $varphi$ is unital, $B$ is commutative and $V(varphi(a)^{*}varphi(b))subseteq V(a^{*}b)$ for all $a,bin A$, then $varphi$ is a $*$-homomorphism. It is also shown that if $varphi(|ab|)=|varphi(a)varphi(b)|$ for all $a,bin A$, then $varphi$ is a unital $*$-homomorphism.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213243","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 Common Fixed Point Theorem Using an Iterative Method 用迭代法求公共不动点定理
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2019.71435.281
A. B. Vakilabad
{"title":"A Common Fixed Point Theorem Using an Iterative Method","authors":"A. B. Vakilabad","doi":"10.22130/SCMA.2019.71435.281","DOIUrl":"https://doi.org/10.22130/SCMA.2019.71435.281","url":null,"abstract":"Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence  ${alpha_{n}}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={alpha}_{n}{x}_{n}+(1-{alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize their algorithm and result, imposing some conditions upon the set $C$ and finite many mappings from $C$ in to $H$, to obtain a converging sequence to a common fixed point for these non-self and non-expansive mappings.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213309","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
About One Sweep Algorithm for Solving Linear-Quadratic Optimization Problem with Unseparated Two-Point Boundary Conditions 求解不分离两点边界条件线性二次优化问题的一遍扫描算法
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2019.107161.605
F. Aliev, M. Mutallimov, I. A. Maharramov, N. Huseynova, L. I. Amirova
{"title":"About One Sweep Algorithm for Solving Linear-Quadratic Optimization Problem with Unseparated Two-Point Boundary Conditions","authors":"F. Aliev, M. Mutallimov, I. A. Maharramov, N. Huseynova, L. I. Amirova","doi":"10.22130/SCMA.2019.107161.605","DOIUrl":"https://doi.org/10.22130/SCMA.2019.107161.605","url":null,"abstract":"In the paper a linear-quadratic optimization problem (LCTOR) with unseparated two-point boundary conditions is considered. To solve this problem is proposed a new sweep algorithm which increases doubles the dimension of the original system. In contrast to the well-known methods, here it refuses to solve linear matrix and nonlinear Riccati equations, since the solution of such multi-point optimization problems encounters serious difficulties in passing through nodal points. The results are illustrated with a specific numerical example.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213703","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
Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces 双极度量空间中的Caristi型循环收缩与耦合不动点结果
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2018.79219.369
G. Kishore, B. Rao, S. Radenović, Huaping Huang
{"title":"Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces","authors":"G. Kishore, B. Rao, S. Radenović, Huaping Huang","doi":"10.22130/SCMA.2018.79219.369","DOIUrl":"https://doi.org/10.22130/SCMA.2018.79219.369","url":null,"abstract":"In this paper, we establish the existence of common coupled fixed point results for new Caristi type contraction of three covariant mappings in Bipolar metric spaces. Some interesting consequences of our results are achieved. Moreover, we give an illustration which presents the applicability of the achieved results.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213059","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: 4
An Example of Data Dependence Result for The Class of Almost Contraction Mappings 一类几乎收缩映射的数据依赖结果的一个例子
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2018.88562.464
Yunus Atalan, V. Karakaya
{"title":"An Example of Data Dependence Result for The Class of Almost Contraction Mappings","authors":"Yunus Atalan, V. Karakaya","doi":"10.22130/SCMA.2018.88562.464","DOIUrl":"https://doi.org/10.22130/SCMA.2018.88562.464","url":null,"abstract":"In the present paper, we show that $S^*$ iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that this iteration method is equivalent to CR iteration method  and it produces a slow convergence rate compared to the CR iteration method for the class of almost contraction mappings. We also present table and graphic to support this result. Finally, we obtain a data dependence result for almost contraction mappings by using $S^*$ iteration method and in order to show validity of this result we give an example.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213577","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 Version of Favard's Inequality for the Sugeno Integral 关于Sugeno积分的Favard不等式的一个版本
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2020.119368.728
B. Daraby, Hassan Ghazanfary Asll, I. Sadeqi
{"title":"A Version of Favard's Inequality for the Sugeno Integral","authors":"B. Daraby, Hassan Ghazanfary Asll, I. Sadeqi","doi":"10.22130/SCMA.2020.119368.728","DOIUrl":"https://doi.org/10.22130/SCMA.2020.119368.728","url":null,"abstract":"In this paper, we  present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213413","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
Continuous $k$-Fusion Frames in Hilbert Spaces Hilbert空间中的连续$k$-融合框架
Communications in Mathematical Analysis Pub Date : 2020-01-01 DOI: 10.22130/SCMA.2018.83792.418
V. Sadri, R. Ahmadi, M. Jafarizadeh, S. Nami
{"title":"Continuous $k$-Fusion Frames in Hilbert Spaces","authors":"V. Sadri, R. Ahmadi, M. Jafarizadeh, S. Nami","doi":"10.22130/SCMA.2018.83792.418","DOIUrl":"https://doi.org/10.22130/SCMA.2018.83792.418","url":null,"abstract":"The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames  which is important for frame applications, have been specified  completely for the continuous frames. After improving and extending the concept of fusion frames and continuous frames, in this paper we introduce continuous $k$-fusion frames in Hilbert spaces. Similarly to the c-fusion frames, dual of continuous $k$-fusion frames may not be defined, we however define the $Q$-dual of continuous $k$-fusion frames. Also some new results and the perturbation of continuous $k$-fusion frames will be presented.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68213156","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: 1
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