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H((·,·),(·,·))-Mixed Cocoercive Operators with an Application for Solving Variational Inclusions in Hilbert Spaces
Joint Authors
Husain, Shamshad
Gupta, Sanjeev
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate a class of new H((·,·),(·,·))-mixed cocoercive operators in Hilbert spaces.
We extend the concept of resolvent operators associated with H(·,·)-cocoercive operators to the H((·,·),(·,·))-mixed cocoercive operators and prove that the resolvent operator of H((·,·),(·,·))-mixed cocoercive operator is single valued and Lipschitz continuous.
Some examples are given to justify the definition of H((·,·),(·,·))-mixed cocoercive operators.
Further, by using resolvent operator technique, we discuss the approximate solution and suggest an iterative algorithm for the generalized mixed variational inclusions involving H((·,·),(·,·))-mixed cocoercive operators in Hilbert spaces.
We also discuss the convergence criteria for the iterative algorithm under some suitable conditions.
Our results can be viewed as a generalization of some known results in the literature.
American Psychological Association (APA)
Husain, Shamshad& Gupta, Sanjeev. 2013. H((·,·),(·,·))-Mixed Cocoercive Operators with an Application for Solving Variational Inclusions in Hilbert Spaces. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-467311
Modern Language Association (MLA)
Husain, Shamshad& Gupta, Sanjeev. H((·,·),(·,·))-Mixed Cocoercive Operators with an Application for Solving Variational Inclusions in Hilbert Spaces. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-467311
American Medical Association (AMA)
Husain, Shamshad& Gupta, Sanjeev. H((·,·),(·,·))-Mixed Cocoercive Operators with an Application for Solving Variational Inclusions in Hilbert Spaces. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-467311
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467311