Some Algorithms for Finding Fixed Points and Solutions of Variational Inequalities
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-28
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We introduce new implicit and explicit algorithms for finding the fixed point of a k-strictly pseudocontractive mapping and for solving variational inequalities related to the Lipschitzian and strongly monotone operator in Hilbert spaces.
We establish results on the strong convergence of the sequences generated by the proposed algorithms to a fixed point of a k-strictly pseudocontractive mapping.
Such a point is also a solution of a variational inequality defined on the set of fixed points.
As direct consequences, we obtain the unique minimum-norm fixed point of a k-strictly pseudocontractive mapping.
American Psychological Association (APA)
Jung, Jong Soo. 2012. Some Algorithms for Finding Fixed Points and Solutions of Variational Inequalities. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-450055
Modern Language Association (MLA)
Jung, Jong Soo. Some Algorithms for Finding Fixed Points and Solutions of Variational Inequalities. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-450055
American Medical Association (AMA)
Jung, Jong Soo. Some Algorithms for Finding Fixed Points and Solutions of Variational Inequalities. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-450055
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450055