A new system of variational inclusions with (H,eta)-monotone operators in Hilbert spaces

Fang, Y. P., Huang, N. J. and Thompson, H. B. (2005) A new system of variational inclusions with (H,eta)-monotone operators in Hilbert spaces. Computers & Mathematics With Applications, 49 2-3: 365-374. doi:10.1016/j.camwa.2004.04.037

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads

Author Fang, Y. P.
Huang, N. J.
Thompson, H. B.
Title A new system of variational inclusions with (H,eta)-monotone operators in Hilbert spaces
Journal name Computers & Mathematics With Applications   Check publisher's open access policy
ISSN 0898-1221
Publication date 2005
Sub-type Article (original research)
DOI 10.1016/j.camwa.2004.04.037
Volume 49
Issue 2-3
Start page 365
End page 374
Total pages 10
Editor Rodin, E. Y.
Place of publication Oxford
Publisher Pergamon-Elsevier Science Ltd
Collection year 2005
Language eng
Subject C1
230109 Functional Analysis
780101 Mathematical sciences
Abstract In this paper, we introduce and study a new system of variational inclusions involving (H, eta)-monotone operators in Hilbert space. Using the resolvent operator associated with (H, eta)monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm. (c) 2005 Elsevier Ltd. All rights reserved.
Keyword (h
Eta)-monotone Operator
Resolvent Operator Technique
System Of Variational Inclusion
Iterative Algorithm
Computer Science, Interdisciplinary Applications
Mathematics, Applied
(h,eta)-monotone Operator
Perturbed Iterative Algorithms
Projection Methods
Q-Index Code C1

Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 99 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 128 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Wed, 15 Aug 2007, 06:20:51 EST