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Article Citation - Scopus: 54On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences(Lithuanian Association of Nonlinear Analysts, 2015) Aydi,H.; Jellali,M.; Karapınar,E.In this paper, we prove some fixed point results involving α-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. © Vilnius University, 2016.Article Remark on P-D Operator(Chiang Mai University, 2017) Gopal,D.; Karapınar,E.In this short communication, we show that P-D operator fall in the class of weakly compatible (respectively, occasionally weakly compatible) in the presence of a unique common fixed point (respectively, multiple common fixed points) of the given maps. © 2017 by the Mathematical Association of Thailand. 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 On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences(Lithuanian Association of Nonlinear Analysts, 2015) Aydi,H.; Jellali,M.; Karapınar,E.In this paper, we prove some fixed point results involving α-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. © Vilnius University, 2016.Article On Ekeland’s Variational Principle in Partial Metric Spaces(Natural Sciences Publishing, 2015) Aydi,H.; Karapınar,E.; Vetro,C.In this paper, lower semi-continuous functions are used to extend Ekeland’s variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types. © 2015Article Citation - Scopus: 104Fixed Points Results Via Simulation Functions(University of Nis, 2016) Karapınar,E.In this paper, we present some fixed point results in the setting of a complete metric spaces by defining a new contractive condition via admissible mapping imbedded in simulation function. Our results generalize and unify several fixed point theorems in the literature. © 2016, University of Nis. All rights reserved.
