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Citation - WoS: 4
Citation - Scopus: 6
A 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.
Citation - WoS: 4
Citation - Scopus: 5
Fixed Point Results for Admissible z-contractions
(House Book Science-casa Cartii Stiinta, 2018) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, Vladimir
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 embedded in simulation function.