An iterative approach to mixed equilibrium problems and fixed points problems

Fixexd point theory and applications

Yeong-Cheng Liou¹  Shin Min Kang²  Yonghong Yao³ 

[1] Department of Information Management, Cheng Shiu University, Kaohsiung, Taiwan;Department of Mathematics and the RINS, Gyeongsang National University, Jinju, Korea;Department of Mathematics, Tianjin Polytechnic University, Tianjin, China

关键词: mixed equilibrium problem;    fixed point problem;    minimization problem;    strictly pseudo-contractive mapping;   

DOI  :  10.1186/1687-1812-2013-183

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, an iterative algorithm for solving mixed equilibrium problems and fixed points problems has been constructed. It is shown that under some mild conditions, the sequence generated by the presented algorithm converges strongly to the common solution of mixed equilibrium problems and fixed points problems. As an application, we can find the minimum norm element without involving projection. MSC:47J05, 47J25, 47H09.

【 授权许可】

CC BY