Pub Date : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.10
{"title":"On contractive mappings in bv(s)-metric spaces","authors":"","doi":"10.24193/fpt-ro.2022.2.10","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.10","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48837129","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 : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.07
E. Karapınar, Ü. Aksoy, A. Fulga, I. Erhan
{"title":"Fixed point theorems for mappings with a contractive iterate at a point in modular metric spaces","authors":"E. Karapınar, Ü. Aksoy, A. Fulga, I. Erhan","doi":"10.24193/fpt-ro.2022.2.07","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.07","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44197391","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 : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.14
H. Piri, M. Ghasemi
{"title":"Fixed point and nonlinear ergodic theorems for some new type semigroups of mappings","authors":"H. Piri, M. Ghasemi","doi":"10.24193/fpt-ro.2022.2.14","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.14","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45900472","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 : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.06
Akram Safari-Hafshejani
{"title":"The existence of best proximity points for generalized cyclic quasi-contractions in metric spaces with the UC and ultrametric properties","authors":"Akram Safari-Hafshejani","doi":"10.24193/fpt-ro.2022.2.06","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.06","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44074597","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 : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.20
{"title":"Strong convergence theorem for a general system of variational inequalities, equilibrium problems, and fixed point problems","authors":"","doi":"10.24193/fpt-ro.2022.2.20","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.20","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44764155","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 : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.11
{"title":"Large time behavior of solutions to a system of coupled nonlinear oscillators via a generalized form of Schauder-Tychonoff fixed point theorem","authors":"","doi":"10.24193/fpt-ro.2022.2.11","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.11","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48132918","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 : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.16
{"title":"Sets with structure, mappings and fixed point property: fixed point structures","authors":"","doi":"10.24193/fpt-ro.2022.2.16","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.16","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45202176","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 : 2022-06-15DOI: 10.24193/fpt-ro.2022.2.13
G. A. Okeke, Cyril Ifeanyichukwu Ugwuogor
{"title":"Iterative construction of the fixed point of Suzuki's generalized nonexpansive mappings in Banach spaces","authors":"G. A. Okeke, Cyril Ifeanyichukwu Ugwuogor","doi":"10.24193/fpt-ro.2022.2.13","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.2.13","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43701649","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 : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.22
B. Djafari-Rouhani, K. R. Kazmi, S. Moradi, Rehan Ali
. This paper deals with a split equality hierarchical fixed point problem in real Hilbert spaces which is an important and natural extension of hierarchical fixed point problem and split equality fixed point problem. An iterative algorithm where the stepsizes do not depend on the operator norms, so called simultaneous Krasnoselski-Mann algorithm is suggested for solving the split equality hierarchical fixed point problem. Further we prove a weak convergence theorem for the sequence generated by this algorithm. This special aspect of the algorithm together with the convergence result makes it an interesting scheme. Furthermore, we give some examples to justify the main result. Finally, we show that our purposed iterative algorithm is more efficient than some other known iterative algorithms. On the other hand, the framework is general and allows us to treat in a unified way several iterative algorithms, recovering, developing and improving some recently known related convergence results in the literature.
{"title":"Solving the split equality hierarchical fixed point problem","authors":"B. Djafari-Rouhani, K. R. Kazmi, S. Moradi, Rehan Ali","doi":"10.24193/fpt-ro.2022.1.22","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.22","url":null,"abstract":". This paper deals with a split equality hierarchical fixed point problem in real Hilbert spaces which is an important and natural extension of hierarchical fixed point problem and split equality fixed point problem. An iterative algorithm where the stepsizes do not depend on the operator norms, so called simultaneous Krasnoselski-Mann algorithm is suggested for solving the split equality hierarchical fixed point problem. Further we prove a weak convergence theorem for the sequence generated by this algorithm. This special aspect of the algorithm together with the convergence result makes it an interesting scheme. Furthermore, we give some examples to justify the main result. Finally, we show that our purposed iterative algorithm is more efficient than some other known iterative algorithms. On the other hand, the framework is general and allows us to treat in a unified way several iterative algorithms, recovering, developing and improving some recently known related convergence results in the literature.","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42653630","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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