Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1138.49300
Fang, Ya-Ping; Huang, Nan-Jing
Strong vector variational inequalities in Banach spaces. (English)
[J] Appl. Math. Lett. 19, No. 4, 362-368 (2006). ISSN 0893-9659

Summary: In this work, we study some existence results for solutions for a class of strong vector variational inequalities (for short, SVVI) in Banach spaces. The solvability of the $SVVI$ without monotonicity is presented by using the fixed point theorems of Brouwer and Browder, respectively. The solvability of the SVVI with monotonicity is also proved by using the {\it Ky Fan} lemma [Math. Ann. 266, No. 4, 519--537 (1984; Zbl 0515.47029)]. Our results give a positive answer to an open problem proposed by {\it G. Chen} and {\it S.-H. Hou} [Nonconvex Optim. Appl. 38, 73--86 (2000; Zbl 1012.49007)].

MSC 2000:: *49J40 Variational methods including variational inequalities
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47J20 Inequalities involving nonlinear operators

Keywords: strong vector variational inequality; Brouwer's fixed point theorem; weak coercivity; pseudomonotone mapping; solvability

Citations: Zbl 0515.47029; Zbl 1012.49007

Cited in: Zbl 1178.49014 Zbl 1129.49008

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]