Pub Date : 2021-07-01DOI: 10.24193/fpt-ro.2021.2.53
Jenwit Puangpee, S. Suantai
. 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.
{"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":" ","pages":""},"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}
{"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":" ","pages":""},"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}
Pub Date : 2021-07-01DOI: 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":" ","pages":""},"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}
Pub Date : 2021-02-20DOI: 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":"22 1","pages":"75-82"},"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}
Pub Date : 2021-02-20DOI: 10.24193/FPT-RO.2021.1.16
Maurizio Imbesi, R. Lashkaripour, Z. Ahmadi
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.
{"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":" ","pages":""},"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}
Pub Date : 2021-02-20DOI: 10.24193/FPT-RO.2021.1.17
M. Iranmanesh, S. Radenović, F. Soleimany
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.
本文考虑完全偏幂等值度量空间，证明了幂等空间上锥度量空间的不动点定理。
{"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":" ","pages":""},"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}
Pub Date : 2021-02-20DOI: 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":"22 1","pages":"315-326"},"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}
Pub Date : 2021-02-20DOI: 10.24193/FPT-RO.2021.1.03
J. Appell, A. Dutkiewicz, B. López
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.
{"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":"22 1","pages":"31-58"},"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}
Pub Date : 2021-02-20DOI: 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":"22 1","pages":"377-390"},"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}
Pub Date : 2021-02-20DOI: 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":"22 1","pages":"93-104"},"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}
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