Strong and Δ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces
Joint Authors
Bello, A. U.
Ndambomve, P.
Chidume, Charles E.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-16
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let K be a nonempty closed and convex subset of a completeCAT(0) space.
Let Ti:K→CBK,i=1,2,…,m, be a family of multivalued demicontractive mappings such that F:=⋂i=1mF(Ti)≠∅.
A Krasnoselskii-type iterative sequence is shown to Δ-converge to a common fixed point ofthe family Ti,i=1,2,…,m.
Strong convergence theorems are also provedunder some additional conditions.
Our theorems complement and extend several recent important results on approximation of fixed points of certain nonlinear mappings in CAT(0) spaces.
Furthermore, our method of the proof is ofspecial interest.
American Psychological Association (APA)
Chidume, Charles E.& Bello, A. U.& Ndambomve, P.. 2014. Strong and Δ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034022
Modern Language Association (MLA)
Chidume, Charles E.…[et al.]. Strong and Δ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1034022
American Medical Association (AMA)
Chidume, Charles E.& Bello, A. U.& Ndambomve, P.. Strong and Δ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034022
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034022