Work

Self-adaptive algorithms for solving split pseudomonotone equilibrium problems and pseudocontractive operators

Year: 2025

Type: article

Abstract: In this paper, we apply self-adaptive methods to solve split pseudomonotone equilibrium problems subject to fixed point problems of pseudocontractive operators in Hilbert spaces. First, we use linear search rules to avoid the requirement of Lipschitz type conditions of bifunctions. Secondly, we just need to assume that two pseudocontractive operators are Lipschitz continuous, without knowing the sizes of the Lipschitz constants. We present a self-adaptive algorithm for solving the investigated split problem. Under some standard conditions, we show that the sequence generated by the algorithm converges weakly to a solution of the split problem.

Source: Filomat

DOI: 10.2298/fil2506061z

Authors: Lu Zheng, Alexandru Gogoasa, Tzu-Chien Yin

Institutions: Cheongju University, Universitatea Națională de Știință și Tehnologie Politehnica București, China Medical University, China Medical University Hospital

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413246825

FWCI:

Cites: 35

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Related to: 10