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Institution Author: Karapınar, Erdal (16678995500)Publisher: Springer international Publishing Ag

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 57
    Citation - Scopus: 43
    On Best Proximity Point of Ψ-Geraghty Contractions
    (Springer international Publishing Ag, 2013) Karapinar, Erdal; Erhan, Inci M.
    Very recently, Caballero, Harjani and Sadarangani (Fixed Point Theory Appl. 2012: 231, 2012) observed some best proximity point results for Geraghty contractions by using the P-property. In this paper, we introduce the notion of psi-Geraghty contractions and show the existence and uniqueness of the best proximity point of such contractions in the setting of a metric space. We state examples to illustrate our result.
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    Book Part
    Citation - WoS: 1
    Citation - Scopus: 2
    A Fixed Point Result on the Interesting Abstract Space: Partial Metric Spaces
    (Springer international Publishing Ag, 2019) Karapinar, Erdal
    In this chapter, we shall investigate the existence of fixed point of certain mappings via simulation functions in the framework of an interesting abstract space, namely, partial metric spaces. The main results of this manuscript not only extend, but also generalize, improve and unify several existing results on the literature of metric fixed point theory.
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    Article
    Citation - WoS: 8
    Citation - Scopus: 9
    Edelstein Type Fixed Point Theorems
    (Springer international Publishing Ag, 2012) Karapinar, Erdal
    In this manuscript, we investigate certain conditions that imply the existence of fixed points for almost contraction mappings defined on compact metric spaces. Furthermore we introduce a criteria establishing the uniqueness of fixed points for the mentioned operators. As a result we obtain generalized results by unifying some recent related fixed point theorems on the topic.