Convergence and stability of three-step iterative scheme with errors for completely generalized strongly nonlinear quasivariational inequalities

被引：1
|
作者：
Zhang F. [1 ,2 ]
Gao H. [3 ]
Liu Z. [4 ]
Kang S.M. [5 ,6 ]
机构：
[1] College of Information Science and Engineering, Dalian Institute of Light Industry, Dalian
[2] North East University, Shenyang
[3] Department of Mathematics, Liaoning Normal University, Dalian
[4] Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029
[5] Research Institute of Natural Science, Gyeongsang National University
[6] Department of Mathematics, Research Institute of Natural Science, Gyeongsang National University
来源：
Journal of Applied Mathematics and Computing | 2006年 / 20卷 / 1-2期
关键词：
Completely generalized strongly nonlinear quasivariational inequality; Generalized pseudocontractive mapping; Maximal monotone mapping; Relaxed lipschitz mapping; Relaxed monotone mapping; Strongly monotone mapping; Three-step iterative scheme with errors;
D O I：
10.1007/BF02831953
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a new class of completely generalized strongly nonlinear quasivariational inequalities and establish its equivalence with a class of fixed point problems by using the resolvent operator technique. Utilizing this equivalence, we develop a three-step iterative scheme with errors, obtain a few existence theorems of solutions for the completely generalized non-linear strongly quasivariational inequality involving relaxed monotone, relaxed Lipschitz, strongly monotone and generalized pseudocontractive mappings and prove some convergence and stability results of the sequence generated by the three-step iterative scheme with errors. Our results include several previously known results as special cases. © 2006 Korean Society or Computational & Applied Mathematics and Korean SIGCAM.
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页码：465 / 478
页数：13
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