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Article Citation - WoS: 3Citation - Scopus: 4A New Class of Generalized Contraction Using p-functions in Ordered Metric Spaces(Sciendo, 2015) Amor, Sana Hadj; Karapinar, Erdal; Kumam, PoomIn this paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in Chaipunya et. al. [10]. With our new class, we furnish fixed point theorems for continuous, noncontinuous, monotonic, and nonmonotonic mappings in various kinds of the ordering structures.Article Citation - WoS: 5Citation - Scopus: 6Revisiting of Some Outstanding Metric Fixed Point Theorems Via e-contraction(Ovidius Univ Press, 2018) Fulga, Andreea; Karapinar, ErdalIn this paper, we introduce the notion of alpha-psi-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.Article Citation - WoS: 4Citation - Scopus: 6A Note on A Rational Form Contractions With Discontinuities at Fixed Points(House Book Science-casa Cartii Stiinta, 2020) Karapinar, E.In this paper, we investigate one of the classical problems of the metric fixed point theory: Whether there is a contraction condition which does not force the mapping to be continuous at the fixed point. We propose a contraction conditions in rational form that has a unique fixed point but not necessarily continuous at the given fixed point.
