Hybrid Projection Algorithm for Two Finite Families of Asymptotically Quasiϕ-Nonexpansive Mappings in Reflexive Banach Spaces
Nguyễn Trung Hiếu, Nguyen Van Dũng · Numerical Functional Analysis and Optimization · 2017
In this paper, we introduce a hybrid projection algorithm for two finite families of asymptotically quasi ϕ-nonexpansive mappings to establish a convergence theorem in smooth, strictly convex, and reflexive Banach spaces. As applications, we state the convergence of hybrid projection algorithm for two finite families of asymptotically quasi-nonexpansive mappings in Hilbert spaces and the convergence for a system of equilibrium problems.