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Iterative algorithm for a system of nonlinear variational-like inclusions

✍ Scribed by K.R. Kazmi; M.I. Bhat

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 327 KB
Volume: 48
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.02.009

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✦ Synopsis

In this paper, we consider a system of nonlinear variational-like inclusions (SNVLI) in Hilbert spaces. In particular, SNVLI reduces to a variational inclusion, an extension of variational inclusion studied by Hassouni and Moudafi [1]. Using fixed-point method, we suggest an iterative algorithm for finding an approximate solution to SNVLI. Further, we prove the existence of solution and discuss convergence criteria for the approximate solution of SNVLI. The theorems presented in this paper improve and unify many known results of variational inclusions and variational inequalities, see for example [1-3]. (~) 2004 Elsevier Ltd. All rights reserved.

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