A modified Krasnoselskii-Mann algorithm for equilibrium and fixed point problems for nonexpansive mappings in Hilbert spaces

DOI10.30755/NSJOM.08480MaRDI QIDQ5862349

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Publication date: 9 March 2022

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

strong convergenceequilibrium problemsnonexpansive mappingsfixed point problemsKrasnoselskii-Mann algorithm

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Fixed-point theorems (47H10)

Cites Work

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• A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces
• Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings
• A multiprojection algorithm using Bregman projections in a product space
• Viscosity approximation methods for fixed-points problems
• Geometric properties of Banach spaces and nonlinear iterations
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• Strong convergence theorems for a nonexpansive mapping and its applications for solving the split feasibility problem
• Mean Value Methods in Iteration

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