均衡、不动点及变分包含问题公共解的算法

Scheme for Common Solutions of Equilibrium, Fixed Point and Variational Inclusion Problems

介绍了求解公共解集的一种迭代格式。该迭代格式求解的问题包括有限个关于集值极大单调映射和反强单调映射的变分包含问题、非扩张映射不动点问题和均衡问题。在一定的条件下证明了强收敛定理。

In this paper,we introduce an iterative method for finding a common element of set of fixed points of a nonexpansive mapping,the set of solutions of a finite family of variational inclusions with set-valued maximal monotone mappings,and inverse strongly monotone mappings and the set of solutions of an equilibrium problem in Hilbert spaces,under suitable conditions,some strong convergence theorems for approximating this common element are proved.