Generalized strong vector quasi-equilibrium problem with domination structure

In this paper, a generalized strong vector quasi-equilibrium problem with set-valued mapping and domination structure is presented, and under the condition of cone-continuity, existence of solutions and the compactness of solution set are established. As applications, existence of solutions for stro...

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Bibliographic Details
Published inJournal of global optimization Vol. 55; no. 4; pp. 839 - 847
Main Authors Fu, Junyi, Wang, Sanhua
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.04.2013
Springer
Springer Nature B.V
Subjects
Computer Science
Equilibrium
Inequalities
Inequality
Mapping
Mathematical analysis
Mathematics
Mathematics and Statistics
Neighborhoods
Operations Research/Decision Theory
Optimization
Real Functions
Theorems
Vectors (mathematics)
Strong vector equilibrium problem
Fan-KKM theorem
47H10
Strong vector F-implicit variational inequality problem
90C33
49J40
Domination structure
Cone-continuity
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ISSN0925-5001
1573-2916
DOI10.1007/s10898-012-9889-0

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Summary:In this paper, a generalized strong vector quasi-equilibrium problem with set-valued mapping and domination structure is presented, and under the condition of cone-continuity, existence of solutions and the compactness of solution set are established. As applications, existence of solutions for strong vector F-implicit variational inequality problem and strong vector F-implicit complementarity problem is derived, and Khan’s main results are corrected.
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ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-012-9889-0