Weak convergence theorems for equilibrium problems and generalized Hybrid mappings

2014/10/19 by Sattar Alizadeh, Alizadeh, Sattar, Fridoun Moradlou +1
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.1410.5061

arXiv admin note: substantial text overlap with arXiv:1410.4020

arxiv created 2014/10/19 · openalex publication_date 2014/10/19 · arxiv updated 2014/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of generalized hybrid mappings in a Hilbert space. Our results generalize, extend and enrich some existing results in the literature.

Citations

• Strong convergence theorems by a new hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces

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