一个求解平衡问题不动点问题及变分不等问题公解的新方法及其对最优化问题的应用

A New Method for Solving Equilibrium Problem Fixed Point Problem and Variational Inequality Problem with Application to Optimization

本文借助在文章〔2〕中所给出的一个求解平衡问题、不动点问题及变分不等式问题公共解的新方法,给出其在最优化问题的应用。本文结果是新的,它改进和推广了文献〔3,4,8〕中的相应结果。

The purpose of the article is by using a new method presented in[2] for finding a common solution of the equilibrium problem, fixed poin problem and variational inequality problem to study the optimigation problem. The results given in the article are new, which extend and improve the corresponding results in[3,4,5].