Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1076.49005
Liu, Zeqing; Hao, Yan; Kang, Shin Min; Chung, Wonsang
On a system of generalized nonlinear variational inequalities. (English)
[J] Panam. Math. J. 15, No. 1, 95-106 (2005). ISSN 1064-9735

Summary: We introduce and study a new class of systems of generalized nonlinear variational inequalities involving strongly monotone mappings in Hilbert spaces. Using the projection method, we establish an equivalence between the system of generalized nonlinear variational inequalities and the fixed-point problem. This equivalence is used to investigate the existence and uniqueness of solutions of the system of generalized nonlinear variational inequalities and suggest new iterative algorithms for computing the approximate solutions. The convergence and stability analysis are also studied.

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

Keywords: system of generalized nonlinear variational inequalities; strongly monotone mapping; algorithm; convergence; fixed-point

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