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A System of Generalized Variational Inclusions Involving a New Monotone Mapping in Banach Spaces
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We introduce a new monotone mapping in Banach spaces, which is an extension of the Cn-monotone mapping studied by Nazemi (2012), and we generalize the variational inclusion involving the Cn-monotone mapping.
Based on the new monotone mapping, we propose a new proximal mapping which combines the proximal mapping studied by Nazemi (2012) with the η mapping studied by Lan et al.
(2011) and show its Lipschitz continuity.
Based on the new proximal mapping, we give an iterative algorithm.
Furthermore, we prove the convergence of iterative sequences generated by the algorithm under some appropriate conditions.
Our results improve and extend corresponding ones announced by many others.
American Psychological Association (APA)
Guan, Jinlin& Hu, Changsong. 2013. A System of Generalized Variational Inclusions Involving a New Monotone Mapping in Banach Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-488632
Modern Language Association (MLA)
Guan, Jinlin& Hu, Changsong. A System of Generalized Variational Inclusions Involving a New Monotone Mapping in Banach Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-488632
American Medical Association (AMA)
Guan, Jinlin& Hu, Changsong. A System of Generalized Variational Inclusions Involving a New Monotone Mapping in Banach Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-488632
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488632