Auxiliary principle and iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:256

Article

Huang, NJ ; Deng, CX

关键词: mixed variational-like inequality;    iterative algorithm;    set-valued mapping;    auxiliary principle technique;    existence;    convergence;   

DOI  :  10.1006/jmaa.2000.6988

来源: Elsevier

【 摘 要 】

In this paper, we extend the auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities. We prove the existence of a solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities, construct the iterative algorithm for the generalized set-valued strongly nonlinear mixed variational-like inequalities, and show the existence of a solution of the generalized set-valued strongly nonlinear mixed variational-like inequality by using the auxiliary principle technique. We also prove the convergence of iterative sequences generated by the algorithm. (C) 2001 Academic Press.

【 授权许可】

Free