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Modified Halpern Iteration for Finding a Common Element of the Set of Solutions of Generalized Equilibrium Problem and Fixed Point Problem of Quasi-nonexpansive Mapping
Author(s)
Sripattanet, Anchalee
Date Issued
September 1, 2025
Type
Article
Abstract
In this paper, we introduce an iterative process for finding a common element of the set of solutions of generlized equilibrium problem and the set of fixed points problem of a quasi-nonexpansive mapping without demi-closed condition and Tω:= (1 − ω)I + ωT, where T is a quasi-nonexpansive mapping and ω ∈ (0,1) in a framework of a real Hilbert space. By using our main result, we obtain 2 strong convergence theorems involving finite families of nonspreading mapping and κ-demicontractive mapping.
Citation
Thai Journal of Mathematics, 23(3), 445-459, 2025