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

Qi-Qing Song | Zendy

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

Author(s) -

Qi-Qing Song

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/218402

Subject(s) - semilattice , mathematics , order (exchange) , locally convex topological vector space , topological space , topological vector space , perturbation (astronomy) , topology (electrical circuits) , vector space , set (abstract data type) , pure mathematics , combinatorics , computer science , physics , semigroup , finance , quantum mechanics , economics , programming language

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

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