一类具有上下界的均衡问题

A Class of Equilibrium Problems with Lower and Upper Bounds

本文获得一类具有上、下界的抽象均衡问题解的存在性条件, 回答了Isac, Sehgal和Singh提出的一个公开问题,进一步研究了具上、下界及约束条件的抽象均 衡问题,获得了更为深刻的结果. 最后,把上述公开问题推广到两个空间的情形.

In this paper, we obtain some existence results for a class of abstract equilibrium problem; our results give answers to the open problem raised by Isac, Sehgal and Singh. Furthermore, we study the equilibrium problems with lower and upper bounds under restricted conditions, and obtain more results. Finally, we generalize these open problems to the case of two spaces.