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Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems. (English) Zbl 1097.49012

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:

49J40 Variational inequalities
90C29 Multi-objective and goal programming
47J20 Variational and other types of inequalities involving nonlinear operators (general)
90B20 Traffic problems in operations research
91B52 Special types of economic equilibria
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