Browsing by Author "Turkoglu, D."

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Citation - WoS: 7
Citation - Scopus: 9
Cyclic Contractions and Related Fixed Point Theorems on g-metric Spaces
(Natural Sciences Publishing Corp-nsp, 2014) Bilgili, N.; Erhan, I. M.; Karapinar, E.; Turkoglu, D.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.
Citation - WoS: 12
DIFFERENT TYPES MEIR-KEELER CONTRACTIONS ON PARTIAL METRIC SPACES
(Eudoxus Press, Llc, 2012) Erhan, I. M.; Karapinar, E.; Turkoglu, D.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript, Meir-Keeler contractions on partial metric spaces are introduced. It is shown that if a self-mapping T on a complete partial metric spaces is a Meir-Keeler contraction, then T has a unique fixed point.