On Vector Variational Inequalities in Reflexive Banach Spaces

Author： Huang Nan-Jing   Fang Ya-Ping  

Publisher： Springer Publishing Company

ISSN： 0925-5001

Source： Journal of Global Optimization, Vol.32, Iss.4, 2005-08, pp. : 495-505

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In this paper, we study the solvability for a class of vector variational inequalities in reflexive Banach spaces. By using Brouwer fixed point theorem, we prove the solvability for this class of vector variational inequalities without monotonicity assumption. The solvability results for this class of vector variational inequalities with monotone mappings are also presented by using the KKM-Fan lemma

Related content

Existence of Solutions of Generalized Vector Variational Inequalities in Reflexive Banach Spaces

By Zeng Lu-Chuan   Yao Jen-Chih  

Journal of Global Optimization, Vol. 36, Iss. 4, 2006-12 ,pp. : 483-497 (15)

Springer Publishing Company

Access to resources Recommend Favorite

Discontinuous implicit generalized quasi-variational inequalities in Banach spaces

By Cubiotti Paolo   Yao Jen-chih  

Journal of Global Optimization, Vol. 37, Iss. 2, 2007-02 ,pp. : 263-274 (12)

Springer Publishing Company

Access to resources Recommend Favorite

References on Vector Variational Inequalities

By  

Journal of Global Optimization, Vol. 32, Iss. 4, 2005-08 ,pp. : 529-536 (8)

Springer Publishing Company

Access to resources Recommend Favorite

Special Issues on Vector Variational Inequalities

By  

Journal of Global Optimization, Vol. 32, Iss. 4, 2005-08 ,pp. : 537-541 (5)

Springer Publishing Company

Access to resources Recommend Favorite

On Vector Implicit Variational Inequalities and Complementarity Problems

By Huang Nan-Jing   Li Jun  

Journal of Global Optimization, Vol. 34, Iss. 3, 2006-03 ,pp. : 399-408 (10)

Springer Publishing Company

Access to resources Recommend Favorite