Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces

Abstract

In this paper, we establish new strong convergence theorems of proposed algorithms under suitable new conditions for the generalized split feasibility problem in Banach spaces. As applications, new strong convergence theorems for equilibrium problems, fixed point problems and split common fixed point problems are also studied. Our new results are distinct from recent results on the topic in the literature.

Keywords

• strong convergence
• generalized split feasibility problem
• fixed point problem
• equilibrium problem
• split common fixed point problem