Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 64363, 12 pages
doi:10.1155/2007/64363
Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
Yonghong Yao1
, Yeong-Cheng Liou2
and Jen-Chih Yao3
1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
3Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan
Abstract
We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.