Hassen Aydi, Erdal Karapinar
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
| Erdal Karapinar |
Atilim University, Department of Mathematics, 06836
Incek, Ankara, Turkey.
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