A viscosity hybrid steepest-descent method for a system of equilibrium and fixed point problems for an infinite family of strictly pseudo-contractive mappings

作者：Witthayarat Uam****; Kim Jong Kyu; Kumam Poom^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, 2012(1): 224.

DOI：10.1186/1029-242X-2012-224

• common fixed point
• equilibrium problem
• hybrid steepest-descent method
• iterative algorithm
• nonexpansive mapping
• variational inequality

Based on a viscosity hybrid steepest-descent method, in this paper, we introduce an iterative scheme for finding a common element of a system of equilibrium and fixed point problems of an infinite family of strictly pseudo-contractive mappings which solves the variational inequality <(gamma f - mu F)q, p - q > <= 0 for p epsilon boolean AND F-infinity(i=1)(T-i). Furthermore, we also prove the strong convergence theorems for the proposed iterative scheme and give a numerical example to support and illustrate our main theorem.

• 出版日期2012