Applications of order-theoretic fixed point theorems to discontinuous quasi-equilibrium problems

Fixexd point theory and applications

Congjun Zhang¹  Yuehu Wang² 

[1] School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, P.R. China;School of Mathematical Sciences, Anhui University, Hefei, P.R. China

关键词: order-theoretic fixed points;    quasi-equilibrium problems;    Hilbert lattices;    posets;    discontinuous;    existence;   

DOI  :  10.1186/s13663-015-0306-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we apply order-theoretic fixed point theorems and isotone selection theorems to study quasi-equilibrium problems. Some existence theorems of solutions to quasi-equilibrium problems are obtained on Hilbert lattices, chain-complete lattices and chain-complete posets, respectively. In contrast to many papers on equilibrium problems, our approach is order-theoretic and all results obtained in this paper do not involve any topological continuity with respect to the considered mappings.

【 授权许可】

CC BY