Strong convergence theorems for fixed point problems of infinite family of asymptotically quasi-phi-nonexpansive mappings and a system of equilibrium problems

作者：Wang Xin; Hu Changsong^*; Guan Jinlin

来源：Fixed Point Theory and Applications, 2013, 2013(1): 221.

DOI：10.1186/1687-1812-2013-221

• common fixed point
• asymptotically quasi-phi-nonexpansive mappings
• equilibrium problems
• generalized f-projection operator

In this paper, we introduce a general iterative algorithm for finding a common element of the set of common fixed points of infinite family of asymptotically quasi-phi-nonexpansive mappings and of the set of solutions for finite equilibrium problems in a real Banach space. Our results are the generalization of the results (Shehu in Comput. Math. Appl. 63:1089-1103, 2012; Kim in Fixed Point Theory Appl., 2011, doi:10.1186/1687-1812-2011-10) and (Kim and Buong in Fixed Point Theory Appl., 2011, doi:10.1155/2011/780764), and improvement of the result (Yang et al. in Appl. Math. Comput. 218:6072-6082, 2012).

• 出版日期2013
• 单位湖北师范大学