关于不动点变分不等式与最优化的一个定理

On a Theorem of the Variational Inequality and Optimization of Fixed Point

对文献[2]中定理12进行研究,并在此基础上得到了一个判断不动点为最优解的必要条件,而且把该定理推广到了拟-半-E-凸函数与伪-半-E-凸函数的情形,拓展了该定理的应用范围.

Based on the theorem 12 in the literature [2], a necessary condition that a fixed point becomes an optimal resolution is obtained. Furthermore, this theorem is generalized to the case of pseudo-semi-E- convex function and quasi-semi-E-convex function and the extent of its usage is enlarged.