Browsing by Author "Aydi, H."

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Generalized Partial Metric Spaces With a Fixed Point Theorem
(Islamic Azad Univ, Shiraz Branch, 2019) Aydi, H.; Karapinar, E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we introduce the notion of extended partial metric space and we present some fixed point theorems in generalized partial metric spaces involving linear and nonlinear contractions.
Citation - WoS: 46
Citation - Scopus: 46
A Nadler-Type Fixed Point Theorem in Dislocated Spaces and Applications
(Univ Miskolc inst Math, 2018) Aydi, H.; Felhi, A.; Karapinar, Erdal; Sahmim, S.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we introduce the concept of a Hausdorff dislocated metric. We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well known Nadler's fixed point theorem. Moreover, we provide some examples and we give an application of our main result.