Article Outline
References
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chen GY, Huang XX, Yang XQ (2005) Vector optimization. Set-valued and variational analysis. Lecture Notes in Economics and Mathematical Systems, 541. Springer, Berlin
Chen GY, Yang XQ (1990) The vector complementary problem and its equivalences with vector minimal element in ordered spaces. J Math Anal Appl 153:136–158
Chen GY, Yen ND (1993) On the variational inequality model for network equilibrium. Internal Report, Department of Mathematics, University of Pisa, 3. 196 (724)
Fang YP, Huang NJ (2006) Strong vector variational inequalities in Banach spaces. Appl Math Lett 19:362–368
Giannessi F (1980) Theorems of alternative, quadratic programs and complementary problems. In: Cottle RW, Giannessi F, Lions JL (eds) Variational Inequality and Complementary Problems. Wiley, New York
Giannessi F (1998) On Minty variational principle. In: Giannessi F, Komlósi S, Rapcsák T (eds) New Trends in Mathematical Programming. Kluwer, Boston, pp 93–99
Giannessi F (ed) (2000) Vector Variational Inequalities and Vector Equilibrium. Kluwer, Dordrecht, Boston, London
Harker PT, Pang JS (1990) Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications. Math Program 48(2 Ser B):161–220
Konnov IV, Yao JC (1997) On the generalized vector variational inequality problem. J Math Anal Appl 206(1):42–58
Lee GM, Kim DS, Lee BS, Yen ND (1998) Vector variational inequality as a tool for studying vector optimization problems. Nonlinear Anal 34(5):745–765
Yang XQ (1993) Vector complementarity and minimal element problems. J Optim Theory Appl 77(3):483–495
Yang XQ (1993) Vector variational inequalities and its duality. Nonlinear Anal, TMA 21:867–877
Yang XQ, Goh CJ (1997) On vector variational inequalities: application to vector equilibria. J Optim Theory Appl 95:431–443
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag
About this entry
Cite this entry
Yang, X.Q. (2008). Vector Variational Inequalities . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_701
Download citation
DOI: https://doi.org/10.1007/978-0-387-74759-0_701
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-74758-3
Online ISBN: 978-0-387-74759-0
eBook Packages: Mathematics and StatisticsReference Module Computer Science and Engineering