Some Existence Results for Vector Quasivariational Inequalities Involving Multifunctions and Applications to Traffic Equilibrium Problems

Authors:
Phan Quoc Khanh;Le Minh Luu
Affiliations:
Department of Mathematics, International University, Vietnam National University, Hochiminh City, Vietnam;Department of Mathematics, University of Dalat, Dalat, Vietnam
Venue:
Journal of Global Optimization
Year:
2005

Citing 14
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Abstract

Some existence results for vector quasivariational inequalities with multifunctions in Banach spaces are derived by employing the KKM-Fan theorem. In particular, we generalize a result by Lin, Yang and Yao, and avoid monotonicity assumptions. We also consider a new quasivariational inequality problem and propose notions of weak and strong equilibria while applying the results to traffic network problems.