IJPAM: Volume 17, No. 2 (2004)

ITERATIVE ALGORITHM FOR GENERALIZED
NONLINEAR MIXED QUASIVARIATIONAL
INEQUALITIES

Yali Zhao$^{1,2}$, Zunquan Xia$^{1}$, Zeqing Liu$^{3}$, Shin Min Kang$^4$
$^1$Department of Applied Mathematics
Dalian University of Technology
Dalian, 116024, P.R. CHINA
$^2$Department of Mathematics
Chaoyang Teachers College
Chaoyang, Liaoning, 122000, P.R. CHINA
$^3$Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
e-mail: zeqingliu@dl.cn
$^{4}$Department of Mathematics
Research Institute of Natural Sciences
Gyeongsang National University
Chinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr


Abstract.In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving generalized nonlinear mixed quasivariational inequalities. The convergence of the proposed methods only requires the continuity and the $g$-partially relaxed strong monotonicity of mappings. The results presented in this paper extend, improve and unify the corresponding results in this area.

Received: October 12, 2004

AMS Subject Classification: 47J20, 49J40

Key Words and Phrases: generalized nonlinear mixed quasivariational inequality, auxiliary principle, predictor-corrector iterative method, $g$-partially relaxed strongly monotone, skew-symmetric bifunction

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 17
Issue: 2