A Note on Best Proximity Point Theorems under Weak P-Property

A Note on Best Proximity Point Theorems under Weak P-Property

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,...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.942-945-1199
Hauptverfasser: Almeida, Angel, Sadarangani, Kishin B., Karapinar, Erdal
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Cybernetics
Dynamical systems
Fixed point theory
Functional equations
Functions
Mathematical research
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Beschreibung
Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/716825