Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds
Shih-sen Chang, Jen‐Chih Yao, Longwei Yang, Ching‐Feng Wen, D. P. Wu · Numerical Functional Analysis and Optimization · 2021
The purpose of this paper is to introduce a new splitting iterative algorithm for finding a common solution of a system of quasi-variational inclusion problems, equilibrium problems and fixed point for quasi-nonexpansive mappings in Hadamard manifolds. It is shown that under mild conditions, the iterative sequence generated by the proposed algorithm converges to a common solution. As applications, we apply our results to study the minimization problems and saddle point problems in Hadamard manifolds.