Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1021.49002
Aslam, Noor Muhammad; Noor, Khalida Inayat; Rassias, Th.M.
Set-valued resolvent equations and mixed variational inequalities. (English)
[J] J. Math. Anal. Appl. 220, No.2, 741-759 (1998). ISSN 0022-247X

Summary: In this paper, we introduce and study a new class of variational inequalities, which are called the generalized set-valued mixed variational inequalities. The resolvent operator technique is used to establish the equivalence among generalized set-valued variational inequalities, fixed-point problems, and the generalized set-valued resolvent equations. This equivalence is used to study the existence of a solution of set-valued variational inequalities and to suggest a number of iterative algorithms for solving variational inequalities and related optimization problems.

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

Keywords: generalized set-valued mixed variational inequality; fixed-point problems; set-valued resolvent equations; iterative algorithms

Cited in: Zbl 1140.49006 Zbl 1139.49012

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]