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Weak convergence of a splitting algorithm in Hilbert spaces
Authors:Sun Young Cho  B. A. Bin Dehaish  Xiaolong Qin
Affiliation:Department of Mathematics, Gyeongsang National University, Jinju, Korea,Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia and Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan, China
Abstract:In this paper, we present a splitting algorithm with computational errors for solving common solutions of zero point, fixed point and equilibrium problems. Weak convergence theorems of common solutions are established in the framework of real Hilbert spaces.
Keywords:Equilibrium problem   splitting algorithm   nonexpansive mapping   variational inequality   zero point.
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