Browsing by Author "Ozturk, Ali"

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Citation - WoS: 72
Citation - Scopus: 73
Fixed Point Theorems on Quasi-Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2013) Karapinar, Erdal; Erhan, I. M.; Ozturk, Ali; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, the concept of a quasi-partial metric space is introduced, and some general fixed point theorems in quasi-partial metric spaces are proved. (C) 2012 Elsevier Ltd. All rights reserved.
Citation - WoS: 21
Citation - Scopus: 23
On (α, Ψ)-k-contractions in the Extended b-metric Space
(Univ Nis, Fac Sci Math, 2018) Alqahtani, Badr; Karapinar, Erdal; Ozturk, Ali; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we introduce a notion of (alpha, psi)-K-contraction in the setting of extended b-metric spaces and investigate the existence of a fixed point. The presented results generalize and unify a number of well-known fixed point theorem mainly in two distinct aspects; in the sense of the contraction conditions and in the frame of abstract spaces.