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Citation - WoS: 3
On Ciric Type φ-Geraghty Contractions
(Chiang Mai Univ, Fac Science, 2019) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In this paper we introduce the notions of phi-Geraghty contractions and Ciric type phi-Geraghty contractions. We also investigate under which conditions such mappings posses a unique fixed point in the framework of complete metric spaces. We consider examples to show the validity of our main results.
Generalized Partial Metric Spaces With a Fixed Point Theorem
(Islamic Azad Univ, Shiraz Branch, 2019) Aydi, H.; Karapinar, E.
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: 19
ON ADMISSIBLE WEAK CONTRACTIONS IN b-METRIC-LIKE SPACE
(Univ Prishtines, 2017) Hammache, K.; Karapinar, E.; Ould-Hammouda, A.
In this work, we establish some fixed point theorems for admissible weak contractions in b-metric-like spaces and b-metric-like spaces endowed with a partial order. Also, we give some fixed point theorems for cyclic contractive mapping in such spaces. The new results in this paper generalize and extend many theorems that we can find in the literature.