Iterative methods for generalized equilibrium problems and fixed point problems with applications

作者：Qin Xiaolong^*; Chang Shih sen; Cho Yeol Je

来源：Nonlinear Analysis: Real World Applications , 2010, 11(4): 2963-2972.

DOI：10.1016/j.nonrwa.2009.10.017

• Nonexpansive mapping
• Inverse-strongly monotone mapping
• Equilibrium problem
• Variational inequality
• Strict pseudo-contraction

In this paper, we consider an iterative method for finding a common element of the set of a generalized equilibrium problem, of the set of solutions to a system of variational inequalities and of the set of fixed points of a strict pseudo-contraction. Strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding results announced by many others.

• 出版日期2010-8
• 单位宜宾学院; 杭州师范大学