Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Hölder continuity of solutions

Hölder continuity and uniqueness of the solutions of general multivalued vector quasiequilibrium problems in metric spaces are established. The results are shown to be extensions of recent ones for equilibrium problems with some improvements. Applications in quasivariational inequalities, vector qua...

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Veröffentlicht in:	Journal of global optimization 2008-12, Vol.42 (4), p.515-531
Hauptverfasser:	Anh, Lam Quoc, Khanh, Phan Quoc
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science Equilibrium Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Real Functions Sensitivity analysis Studies
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Hölder continuity and uniqueness of the solutions of general multivalued vector quasiequilibrium problems in metric spaces are established. The results are shown to be extensions of recent ones for equilibrium problems with some improvements. Applications in quasivariational inequalities, vector quasioptimization and traffic network problems are provided as examples for others in various optimization—related problems.
ISSN:	0925-5001 1573-2916
DOI:	10.1007/s10898-007-9268-4