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

Authors: Lâm Quốc Anh, Phan Quốc Khánh,

https://doi.org/10.1007/s10898-007-9268-4

Publisher, magazine: ,

Publication year: 2008

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Abstract

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.

Tags: Multivalued vector quasiequilibrium problems; Hölder continuity; Solution uniqueness; Quasivariational inequalities; Traffic network problems; Quasioptimization