IJPAM: Volume 31, No. 2 (2006)


Li Li$^1$, Shin Min Kang$^2$
$^1$Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
e-mail: lili0097@sina.com
$^2$Department of Mathematics
Research Institute of Natural Science
Gyeongsang National University
#900, Gazwa-Dong, Chinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr

Abstract.The aim of this paper is to introduce and study a class of nonlinear quasivariational inequalities in a real Hilbert space. A perturbed iterative algorithm for finding the approximate solutions of the nonlinear quasivariational inequality is suggested. The existence and uniqueness of solution for the nonlinear quasivariational inequality is proved and the convergence of iterative sequence generated by the perturbed iterative algorithm is established.

Received: July 20, 2006

AMS Subject Classification: 47J20, 49J40

Key Words and Phrases: nonlinear quasivariational inequality, perturbed iterative algorithm, convergence, resolvent operator

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 2