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Article Citation - WoS: 41Citation - Scopus: 44Some New Fixed Point Theorems in Fuzzy Metric Spaces(Ios Press, 2014) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Manro, SaurabhThe aim of this paper is to introduce a new class of contractive mappings such as fuzzy alpha-psi-contractive mappings and to present some fixed point theorems for such mappings in complete fuzzy metric space in the sense of Kramosil and Michalek. The results presented in this paper substantially generalize and extend several comparable results in the existing literature. Also, some examples are given to support the usability of our results.Article Citation - Scopus: 10Note on “modified Α-Ψ Mappings With Applications”(Chiang Mai University, 2015) Berzig,M.; Karapinar,E.In this short paper, we unexpectedly notice that the modified version of α-ψ-contractivemappings, suggested by Salimi et al. [Modified α-ψ-contractive mappings with applications, Fixed Point Theory and Applications 2013, 2013:151] is not a real generalization. © 2015 by the Mathematical Association of Thailand. All rights reserved.Article Citation - Scopus: 10On (α-Φ) Contractions on Partial Hausdorff Metric Spaces(Politechnica University of Bucharest, 2018) Chen,C.-M.; Karapinar,E.; O'Regan,D.In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results. © 2018 Politechnica University of Bucharest. 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: 1Rational Contractive Mappings of Integral Type on b-metric Spaces(Univ Prishtines, 2017) Alsulami, Hamed H.; Karapinar, Erdal; Piri, Hossien; Rahrovi, Samira; Zarghami, RamazanThe aim of this paper is to introduce (alpha, psi)- rational contractive mappings of integral type and analyze the existence of fixed points for these mappings in b-metric spaces. Our results extend the results in Karapinar et al. [35] and well known fixed point theorems in the literature.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: 11Note on "Modified α-ψ-Contractive Mappings with Applications"(Chiang Mai Univ, Fac Science, 2015) Berzig, Maher; Karapinar, ErdalIn this short paper, we unexpectedly notice that the modified version of alpha-psi-contractive mappings, suggested by Salimi et al. [Modified alpha-psi-contractive mappings with applications, Fixed Point Theory and Applications 2013, 2013:151] is not a real generalization.Article Citation - WoS: 7ON (α-φ)-MEIR-KEELER CONTRACTIONS ON PARTIAL HAUSDORFF METRIC SPACES(Univ Politehnica Bucharest, Sci Bull, 2018) Chen, Chi-Ming; Karapinar, Erdal; O'Regan, DonalIn this note we introduce the concept of a (alpha-phi)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results.Article Citation - WoS: 15Citation - Scopus: 16On Cyclic (ψ, Φ)-Contractions in Kaleva-seikkala's Type Fuzzy Metric Spaces(Ios Press, 2014) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemIn this paper we introduce the notion of cyclic (psi, phi)-contractions on fuzzy metric spaces in the sense of Kaleva and Seikkala, and we discuss the existence and uniqueness of fixed points for mappings satisfying such type of contractions.
