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Zbl 1097.49012
Khanh, Phan Quoc; Luu, Le Minh
Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems. (English)
[J] J. Glob. Optim. 32, No. 4, 551-568 (2005). ISSN 0925-5001; ISSN 1573-2916/e

Summary: 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.

MSC 2000:: *49J40 Variational methods including variational inequalities
90C29 Multi-objective programming, etc.
47J20 Inequalities involving nonlinear operators
90B20 Highway traffic
91B52 Special types of equilibria in economics

Keywords: generalized upper or lower hemicontinuity; multifunctions; pseudomonotonicity; traffic networks; upper semicontinuity; vector quasivariational inequalities; weak and strong equilibria

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