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

被引：0
作者：
Congjun Zhang
Yuehu Wang
机构：
[1] Nanjing University of Finance and Economics,School of Applied Mathematics
[2] Anhui University,School of Mathematical Sciences
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
order-theoretic fixed points; quasi-equilibrium problems; Hilbert lattices; posets; discontinuous; existence;
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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.
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