On Multivalued Contractions in Cone Metric Spaces without Normality
Joint Authors
Ahmad, Jamshaid
Arshad, Muhammad
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-28
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Wardowski (2011) in this paper for a normal cone metric space (X,d) and for the family ? of subsets of X established a new cone metric H:?×?→E and obtained fixed point of set-valued contraction of Nadler type.
Further, it is noticed in the work of Janković et al., 2011 that the fixed-point problem in the setting of cone metric spaces is appropriate only in the case when the underlying cone is nonnormal.
In the present paper we improve Wardowski's result by proving the same without the assumption of normality on cones.
American Psychological Association (APA)
Arshad, Muhammad& Ahmad, Jamshaid. 2013. On Multivalued Contractions in Cone Metric Spaces without Normality. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-1012390
Modern Language Association (MLA)
Arshad, Muhammad& Ahmad, Jamshaid. On Multivalued Contractions in Cone Metric Spaces without Normality. The Scientific World Journal No. 2013 (2013), pp.1-3.
https://search.emarefa.net/detail/BIM-1012390
American Medical Association (AMA)
Arshad, Muhammad& Ahmad, Jamshaid. On Multivalued Contractions in Cone Metric Spaces without Normality. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-1012390
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1012390