Iterative algorithms for variational inequality and equilibrium problems with applications

作者：Qin, Xiaolong; Cho, Sun Young; Kang, Shin Min^*

来源：Journal of Global Optimization, 2010, 48(3): 423-445.

DOI：10.1007/s10898-009-9498-8

• Equilibrium problem
• Variational inequality
• Optimization
• Nonexpansive mapping

In this paper, we introduce an iterative method for finding a common element of the set of solutions of equilibrium problems, of the set of variational inequalities and of the set of common fixed points of an infinite family of nonexpansive mappings in the framework of real Hilbert spaces. Strong convergence of the proposed iterative algorithm is obtained. As an application, we utilize the main results which improve the corresponding results announced in Chang et al. (Nonlinear Anal, 70:3307-3319, 2009), Colao et al. (J Math Anal Appl, 344:340-352, 2008), Plubtieng and Punpaeng (Appl Math Comput, 197:548-558, 2008) to study the optimization problem.

• 出版日期2010-11
• 单位杭州师范大学