A Hybrid-extragradient Scheme For System of Equilibrium Problems, Nonexpansive Mappings and Monotone Mappings

Autor: Gang-LunFan, 范綱倫
Rok vydání: 2010
Druh dokumentu: 學位論文 ; thesis
Popis: 98
In this paper, we introduce a new iterative scheme based on both hybrid method and extragradient Method to find a common element of the solutions set of a system of equilibrium problems, the fixed points set of a nonexpansive mapping, and the solutions set of a variational inequality problems for a monotone and k-Lipschitz continuous mapping in a Hilbert space. Some convergence results for the iterative sequences generated by these processes are obtained. The results in this paper extend and improve some known results in the literature.
Databáze: Networked Digital Library of Theses & Dissertations