Hassen Aydi, Erdal Karapinar
Abstract:
In this article, we introduce the concept of generalized
-contraction in the context of metric-like spaces and
establish some related fixed point theorems.
As consequences, we obtain some known fixed point results in the literature.
Some examples and an application on two-point boundary value problems for
second order differential equation are also considered.
Submitted December 2, 2014. Published May 15, 2015.
Math Subject Classifications: 47H10, 54H25.
Key Words: Metric-like; alpha-admissible mappings; fixed point
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Hassen Aydi Dammam University, Departement of Mathematics College of Education of Jubail P.O. 12020, Industrial Jubail 31961, Saudi Arabia email: hmaydi@uod.edu.sa | |
Erdal Karapinar Atilim University, Department of Mathematics, 06836 Incek, Ankara, Turkey. email: erdalkarapinar@yahoo.com, ekarapinar@atilim.edu.tr |
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