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Article Citation - WoS: 9Citation - Scopus: 10Some Fixed Point Results on Interpolative Metric Spaces(Pergamon-elsevier Science Ltd, 2025) Karapinar, Erdal; Agarwal, Ravi P.This paper aims to introduce some basic fixed point theorems on interpolative metric space that is a natural extension of standard metric space.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 - Scopus: 3On ćirić type φ-geraghty contractions(Chiang Mai University, 2019) Alqahtani,B.; Fulga,A.; Karapınar,E.In this paper we introduce the notions of φ-Geraghty contractions and Ćirić type φ-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. © 2019 by the Mathematical Association of Thailand.Article Citation - WoS: 16Citation - Scopus: 16Fixed Points of Weakly Compatible Mappings Satisfying Generalized Φ-Weak Contractions(Malaysian Mathematical Sciences Soc, 2015) Vetro, Calogero; Chauhan, Sunny; Karapinar, Erdal; Shatanawi, WasfiIn this paper, utilizing the notion of the common limit range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a phi-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend, and generalize well-known results on the topic in the literature.Article Citation - WoS: 171Citation - Scopus: 189Coincidence Point Theorems on Metric Spaces via Simulation Functions(Elsevier Science Bv, 2015) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Concepcion; Martinez-Moreno, JuanDue to its possible applications, Fixed Point Theory has become one of the most useful branches of Nonlinear Analysis. In a very recent paper, Khojasteh et al. introduced the notion of simulation function in order to express different contractivity conditions in a unified way, and they obtained some fixed point results. In this paper, we slightly modify their notion of simulation function and we investigate the existence and uniqueness of coincidence points of two nonlinear operators using this kind of control functions. (C) 2014 Elsevier B.V. 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: 34Citation - Scopus: 52Common Fixed Point Results on an Extended B-Metric Space(Springeropen, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, ErdalIn this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature. We state some examples to illustrate our results.
