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

被引：33

作者：

Khanh, PQ ^{[1
]}

Luu, LM

机构：

[1] Vietnam Natl Univ, Int Univ, Dept Math, Ho Chi Minh City, Vietnam

[2] Univ Dalat, Dept Math, Da Lat, Vietnam

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2005年 / 32卷 / 04期

关键词：

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

D O I：

10.1007/s10898-004-2693-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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.

引用

页码：551 / 568

页数：18

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