Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces

Yali Zhao, Zunquan Xia, Zeqing Liu and Shin Min Kang

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-15

Abstract:

We introduce and study a new class of generalized nonlinear mixed variational-like inequalities in reflexive Banach spaces. By applying Ding's technique we prove several existence and uniqueness theorems of solutions for the generalized nonlinear mixed variational-like inequality, extend the auxiliary problem technique to suggest and analyze an iterative method to compute the approximate solutions of the generalized nonlinear mixed variational-like inequality, and establish the convergence criteria of the iterative method. The results presented in this paper improve, extend, and unify many known results in this area.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:036278

DOI: 10.1155/IJMMS/2006/36278

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