Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
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- Pages.171-183
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
PERTURBED THREE-STEP ITERATIVE PROCESSES WITH ERRORS FOR GENERAL STRONGLY NONLINEAR QUASIVARIATIONAL INEQUALITIES
- ZHAO YALI (Department of Applied Mathematics, Dalian University of Technology) ;
- XIA ZUNQUAN (Department of Applied Mathematics, Dalian University of Technology) ;
- LIU ZEQING (Department of Mathematics, Liaoning Normal University) ;
- KANG SHIN MIN (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
- Published : 2005.01.01
Abstract
In this paper, we introduce and study a class of general strongly nonlinear quasivariational inequalities in Hilbert spaces. We prove the existence and uniqueness of solution and convergence of the perturbed the three-step iterative sequences with errors for this kind of general strongly nonlinear quasivariational inquality problems involving relaxed Lipschitz, relaxed monotone, and strongly monotone mappings. Our results extend, improve, and unify many known results due to Liu-Ume-Kang, Kim-Kyung, Zeng and others.
Keywords
- General strongly nonlinear quasivariational inequalities;
- perturbed three-step iterative processes with errors;
- convergence