General iterative methods for generalized equilibrium problems and fixed point problems of k -strict pseudo-contractions

Fixexd point theory and applications

Dao-Jun Wen¹  Yi-An Chen¹ 

[1] College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China

关键词: generalized equilibrium problem;    k-strict pseudo-contractions;    general iterative method;    α-inverse strongly monotone;    common fixed point;    strong convergence;   

DOI  :  10.1186/1687-1812-2012-125

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we modify the general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of k-strictly pseudo-contractive nonself mappings. Strong convergence theorems are established under some suitable conditions in a real Hilbert space, which also solves some variation inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors. MSC:47H05, 47H09, 47H10.

【 授权许可】

CC BY