Abstract
In this article, we introduce a new iterative scheme for finding a common element of the set of fixed points of strongly relatively nonexpansive mapping, the set of solutions for equilibrium problems and the set of zero points of maximal monotone operators in a uniformly smooth and uniformly convex Banach space. Consequently, we obtain new strong convergence theorems in the frame work of Banach spaces. Our theorems extend and improve the recent results of Wei et al., Takahashi and Zembayashi, and some recent results.
Highlights
Let E be a real Banach space with norm ∥ · ∥ and let C be a nonempty closed convex subset of E
Where A is an operator from E into E*, such that v Î E is called a zero point of A, i. e., A-10 = {v Î E : Av = 0}
Let F : C × C ® R be a bifunction, where R is the set of real numbers
Summary
Let E be a real Banach space with norm ∥ · ∥ and let C be a nonempty closed convex subset of E. Nilsrakoo [11], proved a strong convergence theorem for finding a common element of the fixed points set of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a uniformly convex and uniformly smooth Banach space.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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
