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Hybrid Method with Perturbation for Lipschitzian Pseudocontractions
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-17
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Assume that F is a nonlinear operator which is Lipschitzian and strongly monotone on a nonempty closed convex subset C of a real Hilbert space H.
Assume also that Ω is the intersection of the fixed point sets of a finite number of Lipschitzian pseudocontractive self-mappings on C.
By combining hybrid steepest-descent method, Mann’s iteration method and projection method, we devise a hybrid iterative algorithm with perturbation F, which generates two sequences from an arbitrary initial point x0∈H.
These two sequences are shown to converge in norm to the same point PΩx0 under very mild assumptions.
American Psychological Association (APA)
Ceng, Lu-Chuan& Wen, Ching-Feng. 2012. Hybrid Method with Perturbation for Lipschitzian Pseudocontractions. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993074
Modern Language Association (MLA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Method with Perturbation for Lipschitzian Pseudocontractions. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993074
American Medical Association (AMA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Method with Perturbation for Lipschitzian Pseudocontractions. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993074