{"title":"Viscosity approximation with MK contractions for a common fixed point problem and a split feasibility problem","authors":"","doi":"10.23952/jnfa.2023.23","DOIUrl":null,"url":null,"abstract":". In this paper, a new viscosity approximation method with projections and Meir-Keeler contractive mappings (MK contractions) for solving a common fixed point problem of an infinite family of nonexpansive mappings and a split feasibility problem with a bounded linear mapping is introduce and investigated. A solution theorem of strong convergence is obtained in infinite dimensional spaces.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2023.23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, a new viscosity approximation method with projections and Meir-Keeler contractive mappings (MK contractions) for solving a common fixed point problem of an infinite family of nonexpansive mappings and a split feasibility problem with a bounded linear mapping is introduce and investigated. A solution theorem of strong convergence is obtained in infinite dimensional spaces.
期刊介绍：
Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.
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