East Asian mathematical journal
- Volume 26 Issue 5
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- Pages.671-680
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- 2010
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
DOI QR Code
A SYSTEM OF NONLINEAR VARIATIONAL INCLUSIONS WITH GENERAL H-MONOTONE OPERATORS IN BANACH SPACES
- Li, Jinsong (DEPARTMENT OF TECHNOLOGY TIELING NORMAL COLLEGE) ;
- Wang, Wei (DEPARTMENT OF MATHEMATICS LIAONING NORMAL UNIVERSITY) ;
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Cho, Min-Hyung
(DEPARTMENT OF APPLIED MATHEMATICS KUMOH NATIONAL INSTITUTE OF TECHNOLOGY)
;
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Kang, Shin-Min
(DEPARTMENT OF MATHEMATICS AND RINS GYEONGSANG NATIONAL UNIVERSITY)
- Received : 2010.07.28
- Accepted : 2010.08.05
- Published : 2010.11.30
Abstract
A system of nonlinear variational inclusions involving general H-monotone operators in Banach spaces is introduced. Using the resolvent operator technique, we suggest an iterative algorithm for finding approximate solutions to the system of nonlinear variational inclusions, and establish the existence of solutions and convergence of the iterative algorithm for the system of nonlinear variational inclusions.
Keywords
- General H-monotone operator;
- reflexive Banach space;
- resolvent operator;
- system of nonlinear variational inclusions;
- contraction mapping