Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions. (2nd September 2022)

• Record Type: Journal Article
• Authors: Yao, Yonghong; Li, Huayu; Postolache, Mihai
• Is Part Of: Optimization. Volume 71:Number 9(2022)
• Page Start: 2451
• Page End: 2469
• Publication Date: 2022-09-02
• Subjects: Split problem -- equilibrium problem -- fixed point -- pseudomonotone operators -- pseudocontractive operators; 47J25 -- 65K10 -- 90C99; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1857757
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we investigate the split equilibrium problems and fixed point problems in Hilbert spaces. We provide a unified framework for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are pseudocontractive. We suggest an iterative algorithm for solving the split problem and demonstrate its weak convergence.