{"title":"A novel accelerated algorithm for solving split variational inclusion problems and fixed point problems","authors":"","doi":"10.23952/jnfa.2023.19","DOIUrl":null,"url":null,"abstract":". Motivated by the Tseng’s extragradient method and the Moudafi’s viscosity method, a new hybrid inertial accelerated algorithm with the line search technique is proposed for solving fixed point problems of demimetric mappings and split variational inclusion problems. A strong convergence theorem is established under some mild conditions. Our proof is different with from those presented in the literatures. In addition, numerical results are reported to support the main results.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"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.2023.19","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
. Motivated by the Tseng’s extragradient method and the Moudafi’s viscosity method, a new hybrid inertial accelerated algorithm with the line search technique is proposed for solving fixed point problems of demimetric mappings and split variational inclusion problems. A strong convergence theorem is established under some mild conditions. Our proof is different with from those presented in the literatures. In addition, numerical results are reported to support the main 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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