关于二元函数列的分裂均衡问题系统

A System of Split Equilibrium Problems for Sequences of Bifunctions

旨在引入一全新方法,用以逼近关于非线性算子族的分裂公共不动点问题的解;并借此构造迭代算法,以求解一类新型问题-关于二元函数列的分裂均衡问题系统,且于Hilbert空间背景下建立强收敛定理.

The purpose in this paper is to introduce an up-to-date method for the approxima- tion of an element of the set of solutions to the split common fixed point problem for countable families of nonlinear operators, by which an iterative algorithm is developed for solving a new type of problems, namely, a system of split equilibrium problems for two sequences of bifunc- tions. A strong convergence theorem is established in the framework of Hilbert spaces.