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Article Citation - WoS: 13Citation - Scopus: 13Best Proximity Point Results in Dislocated Metric Spaces Via r-functions(Springer-verlag Italia Srl, 2018) Gholizadeh, Leila; Karapinar, ErdalIn this paper, we investigate the existence of best proximity of R-contractions in the frame of dislocated metric spaces. We also propose some conditions to guarantee the uniqueness of best proximity point for such contractions. We consider an illustrative example to support the given results. This result generalizes a number of recent results on the topic in the literature.Article Citation - WoS: 7A New Fixed Point Result Via Property P With an Application(int Scientific Research Publications, 2017) Mustafa, Zead; Jaradat, M. M. M.; Karapinar, ErdalThe purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved.Article Citation - WoS: 4Citation - Scopus: 5Fixed Point Results for Admissible z-contractions(House Book Science-casa Cartii Stiinta, 2018) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, VladimirIn 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.

