A Fixed Point Theorem for Multivalued Mappings with δ -Distance
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-24
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We mainly study fixed point theorem for multivalued mappings with δ -distance using Wardowski’s technique on complete metric space.
Let ( X , d ) be a metric space and let B ( X ) be a family of all nonempty bounded subsets of X .
Define δ : B ( X ) × B ( X ) → R by δ ( A , B ) = sup d ( a , b ) : a ∈ A , b ∈ B .
Considering δ -distance, it is proved that if ( X , d ) is a complete metric space and T : X → B ( X ) is a multivalued certain contraction, then T has a fixed point.
American Psychological Association (APA)
Acar, Özlem& Altun, Ishak. 2014. A Fixed Point Theorem for Multivalued Mappings with δ -Distance. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014105
Modern Language Association (MLA)
Acar, Özlem& Altun, Ishak. A Fixed Point Theorem for Multivalued Mappings with δ -Distance. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014105
American Medical Association (AMA)
Acar, Özlem& Altun, Ishak. A Fixed Point Theorem for Multivalued Mappings with δ -Distance. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014105
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014105