{"title":"Two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators","authors":"","doi":"10.23952/jnfa.2023.20","DOIUrl":null,"url":null,"abstract":". In this paper, we use the dual variable to propose a two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators in real Hilbert spaces. Under suitable conditions, we obtain the weak convergence of the proposed algorithm and give applications in the split feasibility problem. A numerical experiment is given to illustrate the efficiency of the proposed iterative algorithm.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":"28 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.2023.20","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 use the dual variable to propose a two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators in real Hilbert spaces. Under suitable conditions, we obtain the weak convergence of the proposed algorithm and give applications in the split feasibility problem. A numerical experiment is given to illustrate the efficiency of the proposed iterative algorithm.
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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