A Best Proximity Point Theorem in Metric Spaces with Generalized Distance
- 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.
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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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
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
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
- weak P-property
- best proximity point
- weakly contractive mapping
- altering distance functions.
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