H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions
Joint Authors
Wong, Mu-Ming
Ahmad, Rais
Yao, Jen-Chih
Dilshad, Mohd
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The purpose of this paper is to introduce a new H(⋅,⋅)-cocoercive operator, which generalizes many existing monotone operators.
The resolvent operator associated with H(⋅,⋅)-cocoercive operator is defined, and its Lipschitz continuity is presented.
By using techniques of resolvent operator, a new iterative algorithm for solving generalized variational inclusions is constructed.
Under some suitable conditions, we prove the convergence of iterative sequences generated by the algorithm.
For illustration, some examples are given.
American Psychological Association (APA)
Ahmad, Rais& Dilshad, Mohd& Wong, Mu-Ming& Yao, Jen-Chih. 2011. H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-458368
Modern Language Association (MLA)
Ahmad, Rais…[et al.]. H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions. Abstract and Applied Analysis No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-458368
American Medical Association (AMA)
Ahmad, Rais& Dilshad, Mohd& Wong, Mu-Ming& Yao, Jen-Chih. H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-458368
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458368