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Algorithm for Solving a New System of Generalized Variational Inclusions in Hilbert Spaces
Joint Authors
Husain, Shamshad
Gupta, Sanjeev
Source
Journal of Calculus of Variations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce and study a new system of generalized variational inclusions involving H(·,·)-cocoercive and relaxed (p,q)-cocoercive operators, which contain the systems of variational inclusions and the systems of variational inequalities, variational inclusions, and variational inequalities as special cases.
By using the resolvent technique for the H(·,·)-cocoercive operators, we prove the existence of solutions and the convergence of a new iterative algorithm for this system of variational inclusions in Hilbert spaces.
An example is given to justify the main result.
Our results can be viewed as a generalization of some known results in the literature.
American Psychological Association (APA)
Husain, Shamshad& Gupta, Sanjeev. 2013. Algorithm for Solving a New System of Generalized Variational Inclusions in Hilbert Spaces. Journal of Calculus of Variations،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-473383
Modern Language Association (MLA)
Husain, Shamshad& Gupta, Sanjeev. Algorithm for Solving a New System of Generalized Variational Inclusions in Hilbert Spaces. Journal of Calculus of Variations No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-473383
American Medical Association (AMA)
Husain, Shamshad& Gupta, Sanjeev. Algorithm for Solving a New System of Generalized Variational Inclusions in Hilbert Spaces. Journal of Calculus of Variations. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-473383
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473383