A KM-BASED ITERATION FOR A SPLIT FEASIBILITY PROBLEM IN HILBERT SPACES

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초록

In this paper, we investigate a split feasibility problem from the prospective of fixed points. We introduce a KM-based iteration and investigate its convergence. We obtain a weakly convergent theorem of common solutions to the split feasibility problem and a common fixed point problem of an infinite family of nonexpansive mappings in the framework of Hilbert spaces. © 2024 Journal of Nonlinear Functional Analysis.

키워드

Common fixed point; Monotone operators; Split feasibility problem; Weak convergence; NONEXPANSIVE-MAPPINGS; CONVERGENCE; SETS; THEOREMS
제목
A KM-BASED ITERATION FOR A SPLIT FEASIBILITY PROBLEM IN HILBERT SPACES
저자
Cho, Sun Young; Shang, Meijuan
DOI
10.23952/jnfa.2024.31
발행일
2024-12
유형
Article
저널명
Journal of Nonlinear Functional Analysis
권
2024