Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces

DOI10.22436/jnsa.010.04.13zbMath1412.47028OpenAlexW2605271742MaRDI QIDQ4631026

Qingqing Cheng, Yongfu Su

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.04.13

zbMATH Keywords

Hilbert spaceequilibrium problemhybrid algorithmweak and strong convergencemodified Ishikawa's iteration

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Some results on generalized equilibrium problems involving strictly pseudocontractive mappings
• Convergence theorems of implicit iterative sequences for a finite family of asymptotically quasi-nonexpansive type mappings
• Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
• Convergence analysis of a monotone projection algorithm in reflexive Banach spaces
• An iterative method of solution for equilibrium and optimization problems
• A hybrid iterative scheme for asymptotically \(k\)-strict pseudo-contractions in Hilbert spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• The existence theorems of solutions for generalized vector-valued variational-like inequalities
• An algorithm for treating asymptotically strict pseudocontractions and monotone operators
• A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces
• Strong convergence of a splitting algorithm for treating monotone operators
• A regularization method for treating zero points of the sum of two monotone operators
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Strong convergence of the CQ method for fixed point iteration processes
• WEAK CONVERGENCE THEOREMS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, MONOTONE MAPPINGS AND PSEUDOCONTRACTIVE MAPPINGS
• WEAK CONVERGENCE OF A SPLITTING ALGORITHM IN HILBERT SPACES
• CONVERGENCE THEOREMS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND ASYMPTOTICALLY κ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES

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