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Fixed Point Theory最新文献

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A new parallel algorithm to solving a system of quasi-variational inclusion problems and common fixed point problems in Banach spaces Banach空间中一类拟变分包含问题和公共不动点问题的新并行算法
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.53
Jenwit Puangpee, S. Suantai
{"title":"A new parallel algorithm to solving a system of quasi-variational inclusion problems and common fixed point problems in Banach spaces","authors":"Jenwit Puangpee, S. Suantai","doi":"10.24193/fpt-ro.2021.2.53","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.53","url":null,"abstract":". In this paper, a new parallel algorithm for finding a common solution of a system of quasi-variational inclusion problems and a common fixed point of a finite family of nonexpansive mappings in a q-uniformly Banach space is introduced and analyzed. A strong convergence theorem of the proposed algorithm is established under some control conditions. As a consequence, we apply our main results to solve convex minimization problems, multiple sets variational inequality problems and multiple sets equilibrium problems. Some numerical experiments of image restoration problems are also given for supporting the main results.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42419358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Caristi's and Downing-Kirk's fixed point theorems on bipolar metric spaces 双极度量空间上的Caristi和Downing-Kirk不动点定理
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.51
K. Özkan, U. Gürdal, A. Mutlu
{"title":"Caristi's and Downing-Kirk's fixed point theorems on bipolar metric spaces","authors":"K. Özkan, U. Gürdal, A. Mutlu","doi":"10.24193/fpt-ro.2021.2.51","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.51","url":null,"abstract":". In this paper, we give some new fixed point results over bipolar metric spaces, that extend Caristi’s and Downing-Kirk’s fixed point theorems.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48169539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Boundary value problem for differential equations with generalized Hilfer-type fractional derivative 广义hilfer型分数阶导数微分方程的边值问题
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.35
M. Benchohra, S. Bouriah, J. Nieto
{"title":"Boundary value problem for differential equations with generalized Hilfer-type fractional derivative","authors":"M. Benchohra, S. Bouriah, J. Nieto","doi":"10.24193/fpt-ro.2021.2.35","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.35","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47924990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of three weak solutions for a class of discrete problems driven by p-Laplacian operator 一类p-Laplacian算子驱动的离散问题三个弱解的存在性
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-02-20 DOI: 10.24193/FPT-RO.2021.1.16
Maurizio Imbesi, R. Lashkaripour, Z. Ahmadi
{"title":"Existence of three weak solutions for a class of discrete problems driven by p-Laplacian operator","authors":"Maurizio Imbesi, R. Lashkaripour, Z. Ahmadi","doi":"10.24193/FPT-RO.2021.1.16","DOIUrl":"https://doi.org/10.24193/FPT-RO.2021.1.16","url":null,"abstract":"In this paper, by using a theorem based on variational method which was recently proved by Ricceri, we establish the existence of three weak solutions for a class of p-Laplacian discrete problems. Remarks and examples are provided to illustrate our result.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41937504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A note on best proximity point for S-cyclic mappings S-循环映射最佳邻近点的一个注记
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-02-20 DOI: 10.24193/FPT-RO.2021.1.05
Abdelhafid Bassou, T. Sabar, Aamri Mohamed
{"title":"A note on best proximity point for S-cyclic mappings","authors":"Abdelhafid Bassou, T. Sabar, Aamri Mohamed","doi":"10.24193/FPT-RO.2021.1.05","DOIUrl":"https://doi.org/10.24193/FPT-RO.2021.1.05","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43509428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Common fixed point theorems in partial idempotent-valued metric spaces 部分幂等值度量空间中的公共不动点定理
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-02-20 DOI: 10.24193/FPT-RO.2021.1.17
M. Iranmanesh, S. Radenović, F. Soleimany
{"title":"Common fixed point theorems in partial idempotent-valued metric spaces","authors":"M. Iranmanesh, S. Radenović, F. Soleimany","doi":"10.24193/FPT-RO.2021.1.17","DOIUrl":"https://doi.org/10.24193/FPT-RO.2021.1.17","url":null,"abstract":"In this article, we consider complete partial idempotent-valued metric spaces and prove some common fixed point theorems in the setting of cone metric spaces over idempotent space.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47488297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Su-Yao theorem 关于苏瑶定理
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-02-20 DOI: 10.24193/FPT-RO.2021.1.22
L. Pasicki
{"title":"On the Su-Yao theorem","authors":"L. Pasicki","doi":"10.24193/FPT-RO.2021.1.22","DOIUrl":"https://doi.org/10.24193/FPT-RO.2021.1.22","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46307610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Hölder-type spaces, singular operators, and fixed point theorems Hölder-type空间，奇异算子，和不动点定理
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-02-20 DOI: 10.24193/FPT-RO.2021.1.03
J. Appell, A. Dutkiewicz, B. López
{"title":"Hölder-type spaces, singular operators, and fixed point theorems","authors":"J. Appell, A. Dutkiewicz, B. López","doi":"10.24193/FPT-RO.2021.1.03","DOIUrl":"https://doi.org/10.24193/FPT-RO.2021.1.03","url":null,"abstract":"In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives. Since imposing (classical or general) global Lipschitz conditions on the nonlinear operators involved leads to degeneracy phenomena, the main emphasis is put on local Lipschitz conditions or fixed point principles of Schauder and Darbo type. To this end, we study continuity and boundedness conditions for linear RiemannLiouville operators and nonlinear Nemytskij operators in Hölder spaces of integral type which have much better properties than classical Hölder spaces.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44966762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An inertial Censor-Segal algorithm for split common fixed-point problems 解分裂公共定点问题的惯性Censor-Segal算法
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-02-20 DOI: 10.24193/FPT-RO.2021.1.07
Huanhuan Cui, Haixia Zhang, L. Ceng
{"title":"An inertial Censor-Segal algorithm for split common fixed-point problems","authors":"Huanhuan Cui, Haixia Zhang, L. Ceng","doi":"10.24193/FPT-RO.2021.1.07","DOIUrl":"https://doi.org/10.24193/FPT-RO.2021.1.07","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47417114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Approximating common fixed points of asymptotically nonexpansive cosine families in Hilbert spaces by algorithms with error terms 用带误差项的算法逼近Hilbert空间中渐近非膨胀余弦族的公共不动点
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-02-20 DOI: 10.24193/FPT-RO.2021.1.26
Jian-zhong Xiao, Yue Zhu
{"title":"Approximating common fixed points of asymptotically nonexpansive cosine families in Hilbert spaces by algorithms with error terms","authors":"Jian-zhong Xiao, Yue Zhu","doi":"10.24193/FPT-RO.2021.1.26","DOIUrl":"https://doi.org/10.24193/FPT-RO.2021.1.26","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45470055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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