A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems

A Note on Continuity of Solution Set for Parametric Weak Vector Equilibrium Problems

We consider the parametric weak vector equilibrium problem. By using a weaker assumption of Peng and Chang (2014), the sufficient conditions for continuity of the solution mappings to a parametric weak vector equilibrium problem are established. Examples are provided to illustrate the essentialness...

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Veröffentlicht in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.986-991
Hauptverfasser: Preechasilp, Pakkapon, Wangkeeree, Rabian
Format: Artikel
Sprache:eng
Schlagworte:
Continuity
Economic models
Equilibrium
Mapping
Mappings (Mathematics)
Mathematical analysis
Mathematical optimization
Mathematical research
Optimization
Vector spaces
Vectors (mathematics)
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Beschreibung
Zusammenfassung:We consider the parametric weak vector equilibrium problem. By using a weaker assumption of Peng and Chang (2014), the sufficient conditions for continuity of the solution mappings to a parametric weak vector equilibrium problem are established. Examples are provided to illustrate the essentialness of imposed assumptions. As advantages of the results, we derive the continuity of solution mappings for vector optimization problems.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/503091