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Citation - WoS: 49
On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences
(inst Mathematics & informatics, 2016) Aydi, Hassen; Jellali, Manel; Karapinar, Erdal
In this paper, we prove some fixed point results involving alpha-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented.
Citation - WoS: 27
Citation - Scopus: 28
Generalized Meir-Keeler Type Contractions on g-metric Spaces
(Elsevier Science inc, 2013) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal
In this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved.
Citation - WoS: 104
Citation - Scopus: 112
(α,ψ)-meir-keeler Contraction Mappings in Generalized b-metric Spaces
(Hindawi Ltd, 2018) Karapinar, Erdal; Czerwik, Stefan; Aydi, Hassen
We present a fixed point theorem for generalized (alpha, Psi)-Meir-Keeler type contractions in the setting of generalized b-metric spaces. The presented results improve, generalize, and unify many existing famous results in the corresponding literature.