Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-09-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let C be a nonempty closed and convex subset of a Hilbert space H, let T and S:C→C be two commutative generalized asymptotically nonexpansive mappings.
We introduce an implicit iteration process of S and T defined by xn=αnx0+(1−αn)(2/((n+1)(n+2)))∑k=0n∑i+j=kSiTjxn, and then prove that {xn} converges strongly to a common fixed point of S and T.
The results generalize and unify the corresponding results.
American Psychological Association (APA)
He, Lili& Deng, Lei& Liu, Jianjun. 2008. Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-488139
Modern Language Association (MLA)
He, Lili…[et al.]. Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-9.
https://search.emarefa.net/detail/BIM-488139
American Medical Association (AMA)
He, Lili& Deng, Lei& Liu, Jianjun. Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space. International Journal of Mathematics and Mathematical Sciences. 2008. Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-488139
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488139