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

作者：Tian Ming^*; Jiao Si Wen

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, 2015(1): 311.

DOI：10.1186/s13660-015-0836-8

• iterative method
• fixed point
• generalized equilibrium problem
• infinitely nonexpansive mappings
• maximal monotone operator
• resolvent
• inverse-strongly monotone mapping
• strict pseudo-contraction
• variational inequality

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.

• 出版日期2015-10-6
• 单位中国民航大学