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Fixed Point Theory最新文献

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A fixed point dichotomy 不动点二分法
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.15
J. Ferrer, E. Llorens-Fuster
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引用次数: 0
On split common fixed point and monotone inclusion problems in reflexive Banach spaces 自反Banach空间中的分裂公共不动点与单调包含问题
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.01
H. Abass, A. A. Mebawondu, C. Izuchukwu, O. K. Narain
{"title":"On split common fixed point and monotone inclusion problems in reflexive Banach spaces","authors":"H. Abass, A. A. Mebawondu, C. Izuchukwu, O. K. Narain","doi":"10.24193/fpt-ro.2022.1.01","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.01","url":null,"abstract":"","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":"46323017","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: 3
A note on the rate of convergence of viscosity iterations 关于黏度迭代收敛速率的注释
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.13
V. Colao
{"title":"A note on the rate of convergence of viscosity iterations","authors":"V. Colao","doi":"10.24193/fpt-ro.2022.1.13","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.13","url":null,"abstract":"","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":"42551843","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
Global and linear convergence of alternated inertial single projection algorithms for pseudo-monotone variational inequalities 伪单调变分不等式的交替惯性单投影算法的全局收敛性和线性收敛性
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.25
Bing Tan, A. Petruşel, X. Qin, J. Yao
{"title":"Global and linear convergence of alternated inertial single projection algorithms for pseudo-monotone variational inequalities","authors":"Bing Tan, A. Petruşel, X. Qin, J. Yao","doi":"10.24193/fpt-ro.2022.1.25","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.25","url":null,"abstract":". In this paper, we investigate three new relaxed single projection methods with alternating inertial extrapolation steps and adaptive non-monotonic step sizes for solving pseudo-monotone variational inequalities in real Hilbert spaces. The proposed algorithms need to compute the projection on the feasible set only once in each iteration and they can work adaptively without the prior information of the Lipschitz constant of the mapping. The weak convergence theorems of the proposed iterative schemes are established under some appropriate conditions imposed on the parameters. These methods recover the Fej´er monotonicity of the even subsequence with respect to the solution and obtain linear convergence rates. Finally, some numerical experiments and applications to optimal control problems are provided to demonstrate the advantages and efficiency of the proposed methods compared to some recent related ones.","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":"49241675","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
Δ-convergence of convex combinations of two maps on p-uniformly convex metric spaces Δ-convergence两个映射在p-一致凸度量空间上的凸组合
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.12
B. Choi
{"title":"Δ-convergence of convex combinations of two maps on p-uniformly convex metric spaces","authors":"B. Choi","doi":"10.24193/fpt-ro.2022.1.12","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.12","url":null,"abstract":"","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":"46110931","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
Coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces 广义Banach空间中的耦合Hilfer和Hadamard分数阶微分系统
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.02
S. Abbas, M. Benchohra, A. Petruşel
{"title":"Coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces","authors":"S. Abbas, M. Benchohra, A. Petruşel","doi":"10.24193/fpt-ro.2022.1.02","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.02","url":null,"abstract":"","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":"42010978","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
Decay solutions to retarded fractional evolution inclusions with superlinear perturbations 具有超线性扰动的延迟分数演化包含的衰变解
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.19
Do Lan, Vu Nam Phong
{"title":"Decay solutions to retarded fractional evolution inclusions with superlinear perturbations","authors":"Do Lan, Vu Nam Phong","doi":"10.24193/fpt-ro.2022.1.19","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.19","url":null,"abstract":"","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":"45119153","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
Linear and superlinear convergence of an inexact algorithm with proximal distances for variational inequality problems 变分不等式问题的一个近距离不精确算法的线性和超线性收敛性
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.20
E. A. P. Quiroz, S. C. Acuña
{"title":"Linear and superlinear convergence of an inexact algorithm with proximal distances for variational inequality problems","authors":"E. A. P. Quiroz, S. C. Acuña","doi":"10.24193/fpt-ro.2022.1.20","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.20","url":null,"abstract":"","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":"48780683","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 asymptotically nonexpansive mappings with non-convex domains 具有非凸域的渐近非扩张映射
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.05
M. Alfuraidan, M. Khamsi, K. Saleh
{"title":"On asymptotically nonexpansive mappings with non-convex domains","authors":"M. Alfuraidan, M. Khamsi, K. Saleh","doi":"10.24193/fpt-ro.2022.1.05","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.05","url":null,"abstract":"","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":"45336343","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 multiple positive solutions to the Caputo-type nonlinear fractional differential equation with integral boundary value conditions 具有积分边值条件的caputo型非线性分数阶微分方程多个正解的存在性
IF 1.1 4区 数学
Fixed Point Theory Pub Date : 2022-01-02 DOI: 10.24193/fpt-ro.2022.1.08
M. Asaduzzaman, Md. Zulfikar Ali
{"title":"Existence of multiple positive solutions to the Caputo-type nonlinear fractional differential equation with integral boundary value conditions","authors":"M. Asaduzzaman, Md. Zulfikar Ali","doi":"10.24193/fpt-ro.2022.1.08","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.08","url":null,"abstract":". In this article, the existence criteria of at least one or at least three positive solutions to the Caputo-type nonlinear fractional differential equation with integral boundary value conditions has been established. The method applied in this study is formulated by the well-known Guo-Krasnoselskii’s fixed point theorem and Leggett-Williams fixed point theorem. First, the Green’s function for corresponding linear fractional differential equation of the main nonlinear fractional differential equation under same boundary value conditions has been constructed. Next, several essential properties of that Green’s function have been proved. Finally, in cone spaces some new existence and multiplicity results for the Caputo-type nonlinear fractional differential equation with integral boundary value conditions are obtained. To support the analytic proof appropriate illustrative examples has also been discussed.","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":"47672124","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: 3
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