The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications
Joint Authors
Kutbi, Marwan Amin
Sintunavarat, Wutiphol
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce the concept of the generalized wα-contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of w-distance and α-admissible mappings.
We also apply our result to coincidence point and common fixed point theorems in metric spaces.
Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results.
Our results generalize the result of Kutbi, 2013, and several results in the literature.
American Psychological Association (APA)
Kutbi, Marwan Amin& Sintunavarat, Wutiphol. 2013. The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-451121
Modern Language Association (MLA)
Kutbi, Marwan Amin& Sintunavarat, Wutiphol. The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-451121
American Medical Association (AMA)
Kutbi, Marwan Amin& Sintunavarat, Wutiphol. The Existence of Fixed Point Theorems via w-Distance and α-Admissible Mappings and Applications. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-451121
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451121