The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces

Qi-Qing Song

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: In a topological sup‐semilattice, we established a new existence result for vector quasiequilibrium problems. By the analysis of essential stabilities of maximal elements in a topological sup‐semilattice, we prove that for solutions of each vector quasi‐equilibrium problem, there exists a connected minimal essential set which can resist the perturbation of the vector quasi‐equilibrium problem.

Date: 2013
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https://doi.org/10.1155/2013/218402

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:218402

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