Abstract
In this paper, we obtain existence theorems for generalized vector variational-like inequalities both under compact and non-compact assumptions. The use of the concept of escaping sequences is crucial for this analysis.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Border K.C., “Fixed Point Theorems with Applications to Economics and Game Theory”. Cambridge University Press, Cambridge, 1985.
Chen G.Y., “Existence of Solutions for a Vector Variational Inequality: An extension of Hartmann-Stampacchia Theorem”. Jou. of Optimiz. Theory Appls., V. 74, 1992, pp. 445–456.
Chen G.Y., and Cheng, G.M., “Vector Variational Inequality and Vector Optimization”. In “Lecture Notes in Econ. and Mathematical Systems”, Vol. 285, Springer-Verlag, New York, Berlin, 1987, pp. 408–416.
Fan K., “A Generalization of Tychonoffs Fixed-Point Theorem”, Mathem.Ann., Vol. 142, 1961, pp. 305–310.
Giannessi F., “Theorems of the Alternative, Quadratic Programs, and Complementary Problems”. In “Variational Inequalities and Complementarity Problems”, Edited by R.W. Cottle, F.Giannessi, and J.-L.Lions, J. Wiley and Sons, New York, 1980, pp. 151–186.
Lee G.M., Kim D.S., Lee B.S. and Cho S.J., “Generalized Vector Variational Inequality and Fuzzy Extension”. Appls. Mathem., Vol. 6, 1993, pp. 47–51.
Siddiqi A.H.,.Ansari, Q.H., and Ahmad, R., “On vector variational inequalities”. Indian Jou. Pure Appls. Mathematics, Vol. 26, 1995, pp. 1135–1141.
Siddiqi A.H., Ansari, Q.H., and Khaliq, A., “On Vector Variational Inequalities”. Jou. of Optimiz. Theory and Appls., Vol. 84, 1995, pp. 171–180.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Kluwer Academic Publishers
About this chapter
Cite this chapter
Qun, L. (2000). Generalized Vector Variational-Like Inequalities. In: Giannessi, F. (eds) Vector Variational Inequalities and Vector Equilibria. Nonconvex Optimization and Its Applications, vol 38. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0299-5_21
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0299-5_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7985-0
Online ISBN: 978-1-4613-0299-5
eBook Packages: Springer Book Archive