Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem

DOI10.1007/s11075-017-0316-yzbMath1481.65082OpenAlexW2605191809MaRDI QIDQ679717

Rehan Ali, Mohd Furkan, Kaleem Raza Kazmi

Publication date: 19 January 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0316-y

zbMATH Keywords

weak convergencenonexpansive mappinghierarchical fixed point problemsplit monotone variational inclusion problemKrasnoselski-Mann type iterative methodsplit mixed equilibrium problem

Mathematics Subject Classification ID

Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Numerical solutions to equations with nonlinear operators (65J15)

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An iterative scheme for split equality equilibrium problems and split equality hierarchical fixed point problem, Strong convergence results of split equality hierarchical fixed point problems, Hybrid iterative scheme for solving split equilibrium and hierarchical fixed point problems, Unnamed Item, A hybrid iterative algorithm for solving monotone variational inclusion and hierarchical fixed point problems, Modified Krasnoselski-Mann type iterative algorithm with strong convergence for hierarchical fixed point problem and split monotone variational inclusions, Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings, Common Solution to Generalized General Variational-Like Inequality and Hierarchical Fixed Point Problems, Inertial Krasnosel'skiǐ-Mann type hybrid algorithms for solving hierarchical fixed point problems, Inertial KM-type extragradient scheme for solving a variational inequality and a hierarchical fixed point problems, Krasnoselski-Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems

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