Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems

作者：Yao Yonghong; Cho Yeol Je^*; Liou Yeong Cheng

来源：European Journal of Operational Research, 2011, 212(2): 242-250.

DOI：10.1016/j.ejor.2011.01.042

• Equilibrium problem
• Fixed point
• Nonexpansive mapping
• Variational inclusion

In this paper, we present an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem and the set of fixed points of an infinite family of nonexpansive mappings and the set of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm has strong convergence under some mild conditions imposed on algorithm parameters.

• 出版日期2011-7-16
• 单位天津工业大学