A Best Proximity Point Theorem in Metric Spaces with Generalized Distance

Volume 13, Issue 4, pp 336-342
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Authors

Mehdi Omidvari - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. S. Mansour Vaezpour - Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran.

Abstract

In this paper at first, we define the weak P-property with respect to a $\tau$-distance such as p. Then we state a best proximity point theorem in a complete metric space with generalized distance such that it is an extension of previous research.

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ISRP Style

Mehdi Omidvari, S. Mansour Vaezpour, A Best Proximity Point Theorem in Metric Spaces with Generalized Distance, Journal of Mathematics and Computer Science, 13 (2014), no. 4, 336-342

AMA Style

Omidvari Mehdi, Vaezpour S. Mansour, A Best Proximity Point Theorem in Metric Spaces with Generalized Distance. J Math Comput SCI-JM. (2014); 13(4):336-342

Chicago/Turabian Style

Omidvari, Mehdi, Vaezpour, S. Mansour. "A Best Proximity Point Theorem in Metric Spaces with Generalized Distance." Journal of Mathematics and Computer Science, 13, no. 4 (2014): 336-342

Keywords

• weak P-property
• best proximity point
• $\tau$-distance
• weakly contractive mapping
• altering distance functions.

•  54H25
•  41A65
•  47H10

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