拓扑空间内有上下界的拟平衡问题

利用作者的一个不动点定理,在非紧拓扑空间内对具有上下界的拟平衡问题证明了解的存在性定理.这些结果进一步回答了由Isac, Sehgal和Singh提出的公开问题和推广了文献中很多重要结果.

Quasi-Equilibrium Problems with Lower and Upper Bounds in Topological Spaces

By employing a fixed point theorem due to author, some existence theorems of solutions for quasi-equilibrium problems with lower and upper bounds are proved in noncompact topological spaces. These results answer the open problem raised by Isac, Sehgal and Singh under much weaker assumptions and generalize many important results in literature.