Abstract
In this paper, a new algorithm for finding a common element of a split equality fixed point problem for nonexpansive mappings and split equality equilibrium problem in three Banach spaces is introduced. Also, some strong and weak convergence theorems for the proposed algorithm are proved. Finally, the main results obtained in this paper are applied to solve the split equality convex minimization problem.
Highlights
Let C be a closed convex subset of real Banach space E with the dual space E ∗, and let f : C × C →< be a bifunction, where < is the set of real numbers
The solutions set of the problem (EP) is denoted by EP( f ), that is, EP( f ) = {u∗ ∈ C : f (u∗, u) ≥ 0, u ∈ C}
It is well known that many problems in physics, optimization, economics and other applied sciences reduce to find a solution of the problem (EP)
Summary
College of Public Foundation, Yunnan Open University
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
