An iterative method for finding common solutions of equilibrium and fixed point problems

作者：Colao, Vittorio; Marino, Giuseppe; Xu, Hong Kun^*

来源：Journal of Mathematical Analysis and Applications, 2008, 344(1): 340-352.

DOI：10.1016/j.jmaa.2008.02.041

• equilibrium problem
• fixed point
• nonexpansive mapping
• variational inequality
• iterative algorithm

We introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem and of the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem.

• 出版日期2008-8-1
• 单位中山大学