Shrinking projection method for a sequence of relatively quasi-nonexpansive multivalued mappings and equilibrium problem in Banach spaces

2012/08/18 by Mohammad Eslamian, Eslamian, M.
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1208.3725

openalex publication_date 2012/08/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Strong convergence of a new iterative process based on the Shrinking projection method to a common element of the set of common fixed points of an infinite family of relatively quasi-nonexpansive multivalued mappings and the solution set of an equilibrium problem in a Banach space is established. Our results improved and extend the corresponding results announced by many others.

Citations

• Metric and Generalized Projection Operators in Banach Spaces: Properties\n and Applications
• Equilibrium programming using proximal-like algorithms

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