[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2009.24.3.425

MIXED VECTOR FQ-IMPLICIT VARIATIONAL INEQUALITY WITH LOCAL NON-POSITIVITY

Lee, Byung-Soo (DEPARTMENT OF MATHEMATICS KYUNGSUNG UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.24, no.3, 2009 , pp. 425-432 More about this Journal

Abstract

This paper introduces a local non-positivity of two set-valued mappings (F,Q) and considers the existences and properties of solutions for set-valued mixed vector FQ-implicit variational inequality problems and set-valued mixed vector FQ-complementarity problems in the neighborhood of a point belonging to an underlined domain K of the set-valued mappings, where the neighborhood is contained in K. This paper generalizes and extends many results in [1, 3-7].

Keywords

mixed vector FQ-implicit complementarity problem; mixed vector FQ-implicit variational inequality problem; positively homogeneous mapping; convex cone; upper semicontinuity; lower semicontinuity; locally non-positive;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	Y. P. Fang and N. J. Huang, The vector F-complementarity problem with demipseudomonotone mappings in Banach spaces, Appl. Math. Lett. 16 (2003), 1019–1024 DOI ScienceOn
2	N. J. Huang and J. Li, F-implicit complementarity problems in Banach spaces, Z. Anal. Anwendungen 23 (2004), 293–302
3	B. S. Lee, Mixed vector FQ-implicit variational inequalities with FQ-complementatity problems, submitted
4	J. Li and N. J. Huang, Vector F-implicit complementarity problems in Banach spaces, Appl. Math. Lett. 19 (2006), 464–471 DOI ScienceOn
5	H. Y. Yin, C. X. Xu, and Z. X. Zhang, The F-complementarity problems and its equivalence with the least element problem, Acta Math. Sinica 44 (2001), 679–686
6	B. S. Lee, M. F. Khan, and Salahuddin, Vector F-implicit complementarity problems with corresponding variational inequality problems, Appl. Math. Lett. 20 (2007), 433–438 DOI ScienceOn
7	F. Ferro, A minimax theorem for vector-valued functions, J. Optim, Theory Appl. 60 (1989), 19–31 DOI