[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2011.27.5.585

EXISTENCE AND ITERATIVE APPROXIMATIONS OF SOLUTIONS FOR STRONGLY NONLINEAR VARIATIONAL-LIKE INEQUALITIES

Li, Jin-Song (Department of Technology, Tieling Normal College)
Sun, Ju-He (Department of Science, Shenyang Aerospace University)
Kang, Shin-Min (Department of Mathematics and RINS, Gyeongsang National University)

Publication Information

East Asian mathematical journal / v.27, no.5, 2011 , pp. 585-595 More about this Journal

Abstract

In this paper, we introduce and study a new class of strongly nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for the class of strongly nonlinear variational- like inequalities. By making use of the auxiliary principle technique, we suggest an iterative algorithm for the strongly nonlinear variational-like inequality and give the convergence criteria of the sequences generated by the iterative algorithm.

Keywords

strongly nonlinear variational-like inequality; auxiliary principle technique; Schauder fixed point theorem; algorithm;

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