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Article Citation - WoS: 3Citation - Scopus: 5A Fixed Point Theorem for Meir-Keeler Type Contraction Via Gupta-Saxena Expression(Springer international Publishing Ag, 2015) Redjel, Najeh; Dehici, Abdelkader; Erhan, Inci M.In this paper, following the idea of Samet et al. (J. Nonlinear. Sci. Appl. 6: 162-169, 2013), we establish a new fixed point theorem for a Meir-Keeler type contraction via Gupta-Saxena rational expression which enables us to extend and generalize their main result (Gupta and Saxena in Math. Stud. 52: 156-158, 1984). As an application we derive some fixed points of mappings of integral type.Article Citation - WoS: 14Citation - Scopus: 24Generalized Alpha-Psi Type Mappings of Integral Type and Related Fixed Point Theorems(Springer, 2014) Karapinar, Erdal; Shahi, Priya; Tas, KenanThe aim of this paper is to introduce two classes of generalized alpha-psi-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results are improved versions of a multitude of relevant fixed point theorems of the existing literature.Article Citation - WoS: 10Citation - Scopus: 15Fixed Points of Generalized Contractive Mappings of Integral Type(Springer international Publishing Ag, 2014) Alsulami, Hamed H.; Karapinar, Erdal; O'Regan, Donal; Shahi, PriyaThe aim of this paper is to introduce classes of alpha-admissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces. Our results improve and generalize fixed point results in the literature.Article Citation - WoS: 4Citation - Scopus: 4Generalized (ξ,α )-Expansive Mappings and Related Fixed-Point Theorems(Springeropen, 2014) Karapinar, Erdal; Shahi, Priya; Kaur, Jatinderdeep; Bhatia, Satvinder SinghIn this paper, we introduce a new class of expansive mappings called generalized (xi,alpha)-expansive mappings and investigate the existence of a fixed point for the mappings in this class. We conclude that several fixed-point theorems can be considered as a consequence of main results. Moreover, some examples are given to illustrate the usability of the obtained results.
