Fixed Point Theory最新文献

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Notes on Krasnoselskii-type fixed-point theorems and their application to fractional hybrid differential problems 关于Krasnoselskii型不动点定理的注记及其在分数混合微分问题中的应用
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.31
H. Akhadkulov, T. Y. Ying, A. Saaban, M. Noorani, H. Ibrahim
{"title":"Notes on Krasnoselskii-type fixed-point theorems and their application to fractional hybrid differential problems","authors":"H. Akhadkulov, T. Y. Ying, A. Saaban, M. Noorani, H. Ibrahim","doi":"10.24193/fpt-ro.2021.2.31","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.31","url":null,"abstract":"Fixed-point theory has experienced quick improvement over the most recent quite a few years. The development has been firmly advanced by the vast number of utilizations in the existence theory of functional, fractional, differential, partial differential, and integral equations. Two fundamental theorems concerning fixed points are those of Schauder and of Banach. The Schauder’s fixed point theorem, involving a compactness condition, may be stated as ”if S is a closed convex and bounded subset of a Banach space X, then every completely continuous operator A : S → S has at least one fixed point”. Note that an operator A on a Banach space X is called completely continuous if it is continuous and A(D) is totally bounded for any bounded subset D of X. Banach’s fixed point theorem, involving a metric assumption on the mapping, states that ”if X is complete metric space and if A is a contraction on X, then it has a unique fixed point, i.e., there is a unique point x∗ ∈ X such that Ax∗ = x∗. Moreover, the sequence Ax converges to x∗ for every x ∈ X,”. The idea of the hybrid fixed point theorems, that is, a blend of the nonlinear contraction principle and Schauder’s fixed-point theorem goes back to 1964, with Krasnoselskii [14], who still maintains an interest in the subject. He gave intriguing applications to differential equations by finding the existence of solutions under some hybrid conditions. Burton [4] extended Krasnoselskii’s result for a wide class of operators in 1998. In 2013, Dhage [6] and Dhage and Lakshmikantham [7] proposed an important Krasnoselskii-type fixed-point","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":"43954656","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
Rate of convergence of modified Mann iteration for asymptotically nonexpansive mappings 渐近非扩张映射的修正Mann迭代收敛速度
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.56
Y. Shehu
{"title":"Rate of convergence of modified Mann iteration for asymptotically nonexpansive mappings","authors":"Y. Shehu","doi":"10.24193/fpt-ro.2021.2.56","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.56","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":"47665482","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
Approximating common fixed point via Ishikawa's iteration 用Ishikawa迭代逼近公共不动点
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.42
R. Gopi, V. Pragadeeswarar
{"title":"Approximating common fixed point via Ishikawa's iteration","authors":"R. Gopi, V. Pragadeeswarar","doi":"10.24193/fpt-ro.2021.2.42","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.42","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":"41821129","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
Existence results for coupled nonlinear fractional differential equations with coupled strip and infinite point boundary conditions 具有耦合条形和无限大点边界条件的非线性分数阶微分方程的存在性结果
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.60
R. Yan, Q. Ma, X. Ding
{"title":"Existence results for coupled nonlinear fractional differential equations with coupled strip and infinite point boundary conditions","authors":"R. Yan, Q. Ma, X. Ding","doi":"10.24193/fpt-ro.2021.2.60","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.60","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":"42635240","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
Solvability of nonlinear functional differential equations of fractional order in reflexive Banach space 自反Banach空间中分数阶非线性泛函微分方程的可解性
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.44
H. Hashem, A. El-Sayed, R. Agarwal, B. Ahmad
{"title":"Solvability of nonlinear functional differential equations of fractional order in reflexive Banach space","authors":"H. Hashem, A. El-Sayed, R. Agarwal, B. Ahmad","doi":"10.24193/fpt-ro.2021.2.44","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.44","url":null,"abstract":". In this work, we are concerned with weak and pseudo solutions for some initial value problems of fractional order and their corresponding functional integral equation of fractional order. These initial value problems includes many initial value problems that arise in nonlinear analysis and its applications.","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":"44816920","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
Extension of λ-PIR for weakly contractive operators via fixed point theory 用不动点理论推广弱压缩算子的λ-PIR
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.34
A. Belhenniche, S. Benahmed, Francisco Câmara Pereira
{"title":"Extension of λ-PIR for weakly contractive operators via fixed point theory","authors":"A. Belhenniche, S. Benahmed, Francisco Câmara Pereira","doi":"10.24193/fpt-ro.2021.2.34","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.34","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":"44869337","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
Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations 纤维收缩原理的一些变体及其应用:从逐次逼近的存在到收敛
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.52
A. Petruşel, I. Rus, M. Serban
{"title":"Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations","authors":"A. Petruşel, I. Rus, M. Serban","doi":"10.24193/fpt-ro.2021.2.52","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.52","url":null,"abstract":"Let (X1,→) and (X2, ↪→) be two L-spaces, U be a nonempty subset of X1×X2 such that Ux1 := {x2 ∈ X2 | (x1, x2) ∈ U} is nonempty, for each x1 ∈ X1. Let T1 : X1 → X1, T2 : U → X2 be two operators and T : U → X1 ×X2 defined by T (x1, x2) := (T1(x1), T2(x1, x2)). If we suppose that T (U) ⊂ U , FT1 6= ∅ and FT2(x1,·) 6= ∅ for each x1 ∈ X1, the problem is in which additional conditions T is a weakly Picard operator ? In this paper we study this problem in the case when the convergence structures on X1 and X2 are defined by metrics. Some applications to the fixed point equations on spaces of continuous functions are also given.","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":"41331471","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
Fixed points and topological properties of extended quasi-metric spaces 扩展拟度量空间的不动点与拓扑性质
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.40
D. Dey, Raúl Fierro, M. Saha
{"title":"Fixed points and topological properties of extended quasi-metric spaces","authors":"D. Dey, Raúl Fierro, M. Saha","doi":"10.24193/fpt-ro.2021.2.40","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.40","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":"49574765","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 inertial type algorithms with generalized contraction mapping for solving monotone variational inclusion problems 求解单调变分包含问题的广义收缩映射惯性型算法
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.45
L. Jolaoso, M. Khamsi, O. Mewomo, C. C. Okeke
{"title":"On inertial type algorithms with generalized contraction mapping for solving monotone variational inclusion problems","authors":"L. Jolaoso, M. Khamsi, O. Mewomo, C. C. Okeke","doi":"10.24193/fpt-ro.2021.2.45","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.45","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":"43875928","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
Discussion of hybrid JS-contractions in b-metric spaces with applications to the existence of solutions for integral equations b-度量空间中混合js -收缩的讨论及其在积分方程解存在性上的应用
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2021-07-01 DOI: 10.24193/fpt-ro.2021.2.59
Oratai Yamaod, W. Sintunavarat
{"title":"Discussion of hybrid JS-contractions in b-metric spaces with applications to the existence of solutions for integral equations","authors":"Oratai Yamaod, W. Sintunavarat","doi":"10.24193/fpt-ro.2021.2.59","DOIUrl":"https://doi.org/10.24193/fpt-ro.2021.2.59","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":"44271884","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
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