Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions

作者：Yonghong Yao, Huayu Li, Mihai Postolache · 发表于：Optimization · 年份：2020 · DOI：10.1080/02331934.2020.1857757 · 被引用次数：30 · 研究领域：Optimization and Variational Analysis、Fixed Point Theorems Analysis、Advanced Optimization Algorithms Research

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.