Electron. J. Diff. Equ., Vol. 2015 (2015), No. 133, pp. 1-15.

Fixed point results for generalized $\alpha\text{-}\psi$-contractions in metric-like spaces and applications

Hassen Aydi, Erdal Karapinar

In this article, we introduce the concept of generalized $\alpha\text{-}\psi$-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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