Convergence theorems for a finite family of relatively quasi-nonexpansive mappings and system of equilibrium problems
نویسندگان
چکیده
منابع مشابه
Convergence Theorems for Two Families of Weak Relatively Nonexpansive Mappings and a Family of Equilibrium Problems
The purpose of this paper is to prove strong convergence theorems for common fixed points of two families of weak relatively nonexpansive mappings and a family of equilibrium problems by a new monotone hybrid method in Banach spaces. Because the hybrid method presented in this paper is monotone, so that the method of the proof is different from the original one. We shall give an example which i...
متن کاملConvergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces
and Applied Analysis 3 It is known that a uniformly convex Banach space is reflexive and strictly convex. The function δ : 0, 2 → 0, 1 which is called the modulus of convexity of E is defined as follows: δ ε inf {
متن کاملStrong Convergence Theorems for a Finite Family of Nonexpansive Mappings
Let H be a real Hilbert space, C a nonempty closed convex subset of H , and T : C → C a mapping. Recall that T is nonexpansive if ‖Tx−Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. A point x ∈ C is called a fixed point of T provided Tx = x. Denote by F(T) the set of fixed points of T , that is, F(T) = {x ∈ C : Tx = x}. Recall that a self-mapping f : C → C is a contraction on C, if there exists a constant α∈ (0...
متن کاملConvergence Theorems for Generalized Equilibrium Problems and Nonexpansive Mappings
We propose a general iterative scheme for solving a generalized equilibrium problem and fixed points of nonexpansive mappings in a Hilbert space. We then prove strong convergence theorems. Mathematics Subject Classification: 47H09, 47H10
متن کاملStrong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces
In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the sequence generated by the proposed algorithm is derived under some suitable assumptions. These results are new and develop some recent results i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematical Forum
سال: 2014
ISSN: 1314-7536
DOI: 10.12988/imf.2014.4472