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Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems

Authors: Phan Quốc Khánh, Lê Minh Lưu,

https://doi.org/10.1007/s10898-004-2693-8

Publisher, magazine: ,

Publication year: 2005

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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.

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

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