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Article Citation - WoS: 25Citation - Scopus: 27A Generalization for the Best Proximity Point of Geraghty-Contractions(Springeropen, 2013) Bilgili, Nurcan; Karapinar, Erdal; Sadarangani, KishinIn this paper, we introduce the notion of Geraghty-contractions and consider the related best proximity point in the context of a metric space. We state an example to illustrate our result.Article Citation - WoS: 8Citation - Scopus: 8Berinde Mappings in Ordered Metric Spaces(Springer-verlag Italia Srl, 2015) Karapinar, Erdal; Sadarangani, KishinRecently, Samet and Vetro proved a fixed point theorem for mappings satisfying a general contractive condition of integral type in orbitally complete metric spaces (Samet and Vetro, Chaos Solitons Fractals 44:1075-1079, 2011). Our aim in this paper is to present a version of the results obtained in the above mentioned paper in the context of ordered metric spaces. Some examples are presented to distinguish our results from the existing ones.Correction Citation - WoS: 4Citation - Scopus: 12Fixed point theory for cyclic weak φ-contraction (vol 24, pg 822, 2011)(Pergamon-elsevier Science Ltd, 2012) Karapinar, Erdal; Sadarangani, KishinWe correct the proof of Theorem 6 in the letter "Fixed point theory for cyclic weak phi-contraction" [E. Karapinar, Fixed point theory for cyclic weak phi-contraction, Appl. Math. Lett. 24 (6) (2011) 822-825]. (C) 2010 Elsevier Ltd. All rights reserved.
