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- Title
A NEW HYBRID HALPERN-BASED EXTRAGRADIENT ALGORITHM FOR A PSEUDOMONOTONE EQUILIBRIUM PROBLEM AND A FIXED POINT PROBLEM OF NONEXPANSIVE MAPPINGS IN BANACH SPACES.
- Authors
YITONG SHI; ZIQI ZHU
- Abstract
In this paper, we propose a hybrid Halpern-based extragradient algorithm for finding a common solution of a pseudomonotone equilibrium problem and a fixed point problem of a nonexpansive mapping. We prove the strong convergence of the proposed algorithm under some mixed conditions. Some numerical examples are provided to illustrate the effectiveness of the proposed algorithm.
- Subjects
BANACH spaces; ALGORITHMS; NONEXPANSIVE mappings; NUMERICAL analysis; PROBLEM solving
- Publication
Journal of Applied & Numerical Optimization, 2024, Vol 6, Issue 1, p71
- ISSN
2562-5527
- Publication type
Article
- DOI
10.23952/jano.6.2024.1.04