BEST PROXIMITY AND COUPLED BEST PROXIMITY POINTS OF ( psi-phi-theta )-ALMOST WEAKLY CONTRACTIVE MAPS IN PARTIALLY ORDERED METRIC SPACE

Venkata Ravindranadh Gutti Babu, Bekere Kumssa Leta

DOI Number
10.22190/FUMI1701073B
First page
073
Last page
094

Abstract


In this paper we obtain some best proximity point results using almost contractive condition with three control functions (in which two of them need not be continuous) in partially ordered metric spaces. As an application, we prove coupled best proximity theorems. The results presented in this paper generalize the results of Choudhury, Metiya, Postolache and Konar [8]. We draw several corollaries and give illustrative examples to demonstrate the validity of our results.


Keywords

best proximity point, coupled best proximity point, almost weakly con- tractive map, partially ordered metric space

Keywords


best proximity, coupled best proximity, partially ordered set

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References


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DOI: https://doi.org/10.22190/FUMI1701073B

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