Pub Date : 2021-07-01DOI: 10.24193/fpt-ro.2021.2.43
H. A. Hançer
{"title":"On multivalued P-contractive mappings that belongs to class of weakly Picard operators","authors":"H. A. Hançer","doi":"10.24193/fpt-ro.2021.2.43","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.43","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":"44828689","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.2021.2.54
Nguyễn Như Quân
{"title":"Weak asymptotic stability for semilinear fractional differential equations with finite delays","authors":"Nguyễn Như Quân","doi":"10.24193/fpt-ro.2021.2.54","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.54","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":"45867412","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.2021.2.49
S. Mechrouk
{"title":"Fixed point theorems in the study of operator equations in ordered Banach spaces and their applications","authors":"S. Mechrouk","doi":"10.24193/fpt-ro.2021.2.49","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.49","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":"42855816","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.2021.2.36
L. Ceng, A. Petruşel, X. Qin, J. Yao
{"title":"Pseudomonotone variational inequalities and fixed points","authors":"L. Ceng, A. Petruşel, X. Qin, J. Yao","doi":"10.24193/fpt-ro.2021.2.36","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.36","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":"43008216","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.2021.2.38
B. Choudhury, T. Gnana Bhaskar, N. Metiya, S. Kundu
The existence of a coupled fixed point for a multi-valued mapping satisfying a certain admissibility condition is established. Requirement that the mapping be a contraction is met implicitly through a function of several variables. Further, we study the stability of coupled fixed point sets for such mappings. Several illustrative examples are presented.
{"title":"Existence and stability of coupled fixed point sets for multi-valued mappings","authors":"B. Choudhury, T. Gnana Bhaskar, N. Metiya, S. Kundu","doi":"10.24193/fpt-ro.2021.2.38","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.38","url":null,"abstract":"The existence of a coupled fixed point for a multi-valued mapping satisfying a certain admissibility condition is established. Requirement that the mapping be a contraction is met implicitly through a function of several variables. Further, we study the stability of coupled fixed point sets for such mappings. Several illustrative examples are presented.","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":"43991347","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.2021.2.41
Mohamed Ennassik, L. Maniar, M. Taoudi
. In this paper we prove some new fixed point theorems in r -normed and locally r -convex spaces. Our conclusions generalize many well-known results and provide a partial affirmative answer to Schauder’s conjecture. Based on the obtained results, we prove the analogue of a Von Neumann’s theorem in locally r -convex spaces. In addition, an application to game theory is presented.
{"title":"Fixed point theorems in r-normed and locally r-convex spaces and applications","authors":"Mohamed Ennassik, L. Maniar, M. Taoudi","doi":"10.24193/fpt-ro.2021.2.41","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.41","url":null,"abstract":". In this paper we prove some new fixed point theorems in r -normed and locally r -convex spaces. Our conclusions generalize many well-known results and provide a partial affirmative answer to Schauder’s conjecture. Based on the obtained results, we prove the analogue of a Von Neumann’s theorem in locally r -convex spaces. In addition, an application to game theory is presented.","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":"44006742","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.2021.2.55
Debasis Sharma, S. K. Parhi
We study the local convergence analysis of two higher-order methods using Hölder continuity condition on the first Fréchet derivative to solve nonlinear equations in Banach spaces. Hölder continuous first derivative is used to extend the applicability of the method on such problems for which Lipschitz condition fails. Also, this convergence analysis generalizes the local convergence analysis based on Lipschitz continuity condition. Our analysis provides the radius of convergence ball and error bounds along with the uniqueness of the solution. Numerical examples like Hammerstein integral equation and a system of nonlinear equations are solved to verify our theoretical results.
{"title":"On the local convergence of higher order methods in Banach spaces","authors":"Debasis Sharma, S. K. Parhi","doi":"10.24193/fpt-ro.2021.2.55","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.55","url":null,"abstract":"We study the local convergence analysis of two higher-order methods using Hölder continuity condition on the first Fréchet derivative to solve nonlinear equations in Banach spaces. Hölder continuous first derivative is used to extend the applicability of the method on such problems for which Lipschitz condition fails. Also, this convergence analysis generalizes the local convergence analysis based on Lipschitz continuity condition. Our analysis provides the radius of convergence ball and error bounds along with the uniqueness of the solution. Numerical examples like Hammerstein integral equation and a system of nonlinear equations are solved to verify our theoretical 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":"48127476","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.2021.2.39
V. Dadashi, Truong Minh Tuyen
{"title":"An extragradient algorithm for the split equilibrium problems without prior knowledge of operator norm","authors":"V. Dadashi, Truong Minh Tuyen","doi":"10.24193/fpt-ro.2021.2.39","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.39","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":"47415747","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.2021.2.33
Fatima Bahidi, Bilel Krichen, B. Mefteh
{"title":"Fixed point results in locally convex spaces with τ-Krein-Šmulian property and applications","authors":"Fatima Bahidi, Bilel Krichen, B. Mefteh","doi":"10.24193/fpt-ro.2021.2.33","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.33","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":"126 28","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41312382","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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