![](/images/graphics-bg.png)
H ( ( · , · ) , ( · , · ) ) -Mixed Cocoercive Operators with an Application for Solving Variational Inclusions in Hilbert Spaces
Joint Authors
Husain, Shamshad
Gupta, Sanjeev
Source
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،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1006071
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 No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1006071
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. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1006071
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006071