Best Proximity Point Theorems for m- Rational Proximal Contraction Mappings in Metric Spaces
| Vol-4 | Issue-04 | April 2019 | Published Online: 15 April 2019 PDF ( 532 KB ) | ||
| Author(s) | ||
J. Beny
1;
J.Maria Joseph
2
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1Assistant Professor, PG and Research Department of Mathematics, Holy Cross College, Trichirappalli & India. 2Assistant Professor, PG and Research Department of Mathematics, St. Joseph College, Trichirappalli & India. |
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| Abstract | ||
In this paper, we define a new class of best proximity point theorems for m-rational proximal contraction in the metric spaces, and also proved the uniqueness and convergence of best proximity point theorems for rational proximal m- contraction of the first and second kind in complete metric spaces. Various examples are illustrated in this paper. |
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| Keywords | ||
| Proximal contraction , Best Proximity Point , Converges , fixed point, complete metric space, Uniqueness | ||
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