A regularization algorithm for a common solution of generalized equilibrium problem, fixed point problem and the zero points of the sum of two operators

Journal of inequalities and applications

Ming Tian¹ 

关键词: iterative method;    fixed point;    generalized equilibrium problem;    infinitely nonexpansive mappings;    maximal monotone operator;    resolvent;    inverse-strongly monotone mapping;    strict pseudo-contraction;    variational inequality;    58E35;    47H09;    65J15;   

DOI  :  10.1186/s13660-015-0836-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

For finding a common solution of generalized equilibrium problem, fixed point problem and the zero points of the sum of two operators, a regularization algorithm is established in the framework of real Hilbert spaces. And the strong convergence theorem is obtained under certain assumptions. The main results presented in this paper are useful in nonlinear analysis and optimization. Moreover, the results and corollaries extend the corresponding conclusions proposed by many authors.

【 授权许可】

CC BY