Minimum-Norm Fixed Point of Pseudocontractive Mappings
Joint Authors
Shahzad, Naseer
Alghamdi, Mohammad Ali
Zegeye, Habtu
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Let K be a closed convex subset of a real Hilbert space H and let T:K→K be a continuous pseudocontractive mapping.
Then for β∈(0,1) and each t∈(0,1), there exists a sequence {yt}⊂K satisfying yt=βPK[(1−t)yt]+(1−β)T(yt) which converges strongly, as t→0+, to the minimum-norm fixed point of T.
Moreover, we provide an explicit iteration process which converges strongly to a minimum-norm fixed point of T provided that T is Lipschitz.
Applications are also included.
Our theorems improve several results in this direction.
American Psychological Association (APA)
Zegeye, Habtu& Shahzad, Naseer& Alghamdi, Mohammad Ali. 2012. Minimum-Norm Fixed Point of Pseudocontractive Mappings. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-508636
Modern Language Association (MLA)
Zegeye, Habtu…[et al.]. Minimum-Norm Fixed Point of Pseudocontractive Mappings. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-508636
American Medical Association (AMA)
Zegeye, Habtu& Shahzad, Naseer& Alghamdi, Mohammad Ali. Minimum-Norm Fixed Point of Pseudocontractive Mappings. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-508636
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508636