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Citation - WoS: 19
Citation - Scopus: 21
A Note on Best Proximity Point Theorems under Weak P-Property
(Hindawi Publishing Corporation, 2014) Almeida, Angel; Karapinar, Erdal; Sadarangani, Kishin
In the very recent paper of Akbar and Gabeleh (2013), by using the notion of P-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weak P-property.
Citation - WoS: 25
Citation - Scopus: 27
A Generalization for the Best Proximity Point of Geraghty-Contractions
(Springeropen, 2013) Bilgili, Nurcan; Karapinar, Erdal; Sadarangani, Kishin
In 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.
Citation - WoS: 67
Citation - Scopus: 80
Fixed Point Theory for Cyclic (i•-Ψ)
(Springer international Publishing Ag, 2011) Karapinar, Erdal; Sadarangani, Kishin
In this article, the concept of cyclic (I center dot - psi)-contraction and a fixed point theorem for this type of mappings in the context of complete metric spaces have been presented. The results of this study extend some fixed point theorems in literature. 2000 Mathematics Subject Classification: 47H10;46T99 54H25.