A new fixed point result via property P with an application
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Authors
Z. Mustafa
- Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar.
- Department of Mathematics, The Hashemite University, P. O. 330127, Zarqa 13115, Jordan.
M. M. M. Jaradat
- Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar.
E. Karapinar
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, AU, 21589, Jeddah, Saudi Arabia.
- Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey.
Abstract
The purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed
point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that
satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and
generalize well-known results in the literature.
Share and Cite
ISRP Style
Z. Mustafa, M. M. M. Jaradat, E. Karapinar, A new fixed point result via property P with an application, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 2066--2078
AMA Style
Mustafa Z., Jaradat M. M. M., Karapinar E., A new fixed point result via property P with an application. J. Nonlinear Sci. Appl. (2017); 10(4):2066--2078
Chicago/Turabian Style
Mustafa, Z., Jaradat, M. M. M., Karapinar, E.. "A new fixed point result via property P with an application." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 2066--2078
Keywords
- Contractive mapping
- fixed point
- partial metric space
- property P
- integral equations.
MSC
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