Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces

2014/10/20 by Fridoun Moradlou, Moradlou, Fridoun, Sattar Alizadeh +1
Computer Science · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.1410.5339

arXiv admin note: text overlap with arXiv:1410.4020

openalex publication_date 2014/10/20 · arxiv created 2014/11/22 · arxiv updated 2014/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove some theorems related to properties of generalized symmetric hybrid mappings in Banach spaces. Using Banach limits, we prove a fixed point theorem for symmetric generalized hybrid mappings in Banach spaces. Moreover, we prove some weak convergence theorems for such mappings by using Ishikawa iteration method in a uniformly convex Banach space.

Citations

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

Related

• Weak convergence theorems for a symmetric generalized hybrid mapping and an equilibrium problem
• Best proximity points and weak convergence theorems for hybrid mappings in Banach spaces
• Weak convergence theorems for equilibrium problems and generalized Hybrid mappings
• Fixed point theorems and convergence theorems for a generalized\n nonexpansive mapping in uniformly convex Banach spaces
• Strong convergence theorems by a new hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces