On Best Proximity Points under the -Property on Partially Ordered Metric Spaces | Zendy

Mohamed Jleli | Zendy; Erdal Karapınar | Zendy; Bessem Samet | Zendy

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On Best Proximity Points under the -Property on Partially Ordered Metric Spaces

Author(s) -

Mohamed Jleli,

Erdal Karapınar,

Bessem Samet

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/150970

Subject(s) - mathematics , property (philosophy) , metric space , point (geometry) , metric (unit) , fixed point property , fixed point theorem , space (punctuation) , order (exchange) , pure mathematics , fixed point , discrete mathematics , mathematical analysis , geometry , computer science , philosophy , operations management , epistemology , finance , economics , operating system

Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the -property can be obtained from the same results in fixed-point theory. In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view

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