{"title":"Viscosity approximation of a modified inertial simultaneous algorithm for a finite family of demicontractive mappings","authors":"","doi":"10.23952/jnfa.2023.7","DOIUrl":null,"url":null,"abstract":". In this paper, we propose a new modified inertial simultaneous algorithm of common fixed point problems for a finite family of demicontractive mappings and obtain some strong convergence results in real Hilbert spaces. Meanwhile, we also give a numerical example to demonstrate the efficiency of our proposed algorithm. Our results improve and extend some corresponding known results.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":"12 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.2023.7","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, we propose a new modified inertial simultaneous algorithm of common fixed point problems for a finite family of demicontractive mappings and obtain some strong convergence results in real Hilbert spaces. Meanwhile, we also give a numerical example to demonstrate the efficiency of our proposed algorithm. Our results improve and extend some corresponding known results.
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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