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A SYSTEM OF VARIATIONAL INCLUSIONS IN BANACH SPACES
- Authors
- Zeqing Liu; Liangshi Zhao; 황홍택; 강신민
- Issue Date
- May-2010
- Publisher
- 영남수학회
- Keywords
- (A; n; m)-accretive operators; system of variational inclusions; resolvent operator technique; Banach fixed point theorem; Mann iterative sequence
- Citation
- East Asian Mathematical Journal, v.26, no.5, pp 681 - 691
- Pages
- 11
- Journal Title
- East Asian Mathematical Journal
- Volume
- 26
- Number
- 5
- Start Page
- 681
- End Page
- 691
- ISSN
- 1226-6973
- Abstract
- A system of variational inclusions with (A, n, m)-accretive operators in real q-uniformly smooth Banach spaces is introduced. Using the resolvent operator technique associated with (A, n, m)-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and propose a Mann type iterative algorithm for approximating the unique solution for the system of variational inclusions.
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