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Article Citation - WoS: 49On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences(inst Mathematics & informatics, 2016) Aydi, Hassen; Jellali, Manel; Karapinar, ErdalIn 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.Article Citation - WoS: 29Citation - Scopus: 36Fixed Point Results on a Class of Generalized Metric Spaces(Springer Heidelberg, 2012) Aydi, Hassen; Karapinar, Erdal; Lakzian, HosseinBrianciari ('A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces,' Publ. Math. Debrecen 57 (2000) 31-37) initiated the notion of the generalized metric space as a generalization of a metric space in such a way that the triangle inequality is replaced by the 'quadrilateral inequality,' d(x, y) <= d(x, a) + d(a, b) + d(b, y) for all pairwise distinct points x, y, a, and b of X. In this paper, we establish a fixed point result for weak contractive mappings T : X -> X in complete Hausdorff generalized metric spaces. The obtained result is an extension and a generalization of many existing results in the literature.Article Citation - WoS: 13Citation - Scopus: 16A Remark on "existence and Uniqueness for a Neutral Differential Problem With Unbounded Delay Via Fixed Point Results F-Metric Spaces"(Springer-verlag Italia Srl, 2019) Aydi, Hassen; Karapinar, Erdal; Mitrovic, Zoran D.; Rashid, TawseefVery recently, Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) proved some (coupled) fixed point results in this setting for a -.-contractive mappings on the setting of F-metric spaces that was initiated by Jleli and Samet (Fixed Point Theory Appl 2018: 128, 2018). In this note, we underline that the proof of Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) has a gap. We provide two examples to illustrate our observation. We also correct the proof and improved the result by replacing a-admissibility by orbital a-admissibility.Article Citation - WoS: 27Citation - Scopus: 28Generalized Meir-Keeler Type Contractions on g-metric Spaces(Elsevier Science inc, 2013) Mustafa, Zead; Aydi, Hassen; Karapinar, ErdalIn 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.Article Citation - WoS: 82Citation - Scopus: 87On Common Fixed Points in g-metric Spaces Using (e.a) Property(Pergamon-elsevier Science Ltd, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, ErdalIn this paper, we introduce some new types of pairs of mappings (f, g) on G-metric spaces called G-weakly commuting of type G(f) and G-R-weakly commuting of type G(f). We obtain also several common fixed point results by using the (E.A) property. (c) 2012 Elsevier Ltd. All rights reserved.Article Citation - WoS: 21Citation - Scopus: 18Tripled Coincidence Fixed Point Results for Boyd-Wong and Matkowski Type Contractions(Springer-verlag Italia Srl, 2013) Aydi, Hassen; Karapinar, Erdal; Radenovic, StojanIn this paper, we establish tripled coincidence and common tripled fixed point theorems of Boyd-Wong and Matkowski type contractions. The presented theorems generalize and extend several well known comparable results in the literature, in particular the results of Samet and Vetro (for tripled case) [Ann Funct Anal 1(2):46-56, 2010]. We illustrate our obtained results by some examples.Article Citation - WoS: 28Fixed Points on Quasi-Metric Spaces Via Simulation Functions and Consequences(Univ Prishtines, 2018) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal; Alojail, Fatimah A.In this paper, we provide some fixed points for triangular alpha-admissible contraction mappings via simulations functions in the class of quasimetric spaces. Some consequences are presented. We also give some illustrated examples.Article Citation - WoS: 20Citation - Scopus: 18MEIR-KEELER TYPE CONTRACTIONS FOR TRIPLED FIXED POINTS(Springer, 2012) Aydi, Hassen; Karapinar, Erdal; Vetro, CalogeroIn 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction.Article Citation - WoS: 48Citation - Scopus: 46On Common Fixed Points in the Context of Brianciari Metric Spaces(Springer Basel Ag, 2017) Aydi, Hassen; Karapinar, Erdal; Zhang, DongIn this paper, we introduce the concept of generalized ()-contractions and generalized ()-Meir-Keeler-contractions in the setting of Brianciari metric spaces. We prove some common fixed point results for such contractions. An example is presented making effective the new concepts and results.Article Citation - WoS: 5AN IMPLICIT RELATION FOR MEIR-KEELER TYPE MAPPINGS ON METRIC-LIKE SPACES(Univ Prishtines, 2017) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal; Alshaikh, H. AliIn this note, we introduce an implicit relation for Meir-Keeler type mappings via auxiliary pair of functions (alpha,psi) in the context of metric-like spaces. We investigate the existence and uniqueness of a common fixed point of such operators. The obtained results extend, improve and unify several existing fixed point results in the literature.
