Best Proximity Point Theorems for Some Well Known Mappings in Complete $b-$Metric spaces


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Authors

  • J. Beny P.G and Research Department of Mathematics, Holy Cross College(Autonomous), Tiruchirappalli, Tami Nadu, India
  • J. Maria Joseph P.G and Research Department of Mathematics, St.Joseph’s College(Autonomous), Tiruchirappalli, Tami Nadu, India

Keywords:

Fixed point, best proximity point, complete metric space, contraction, $b-$metric space

Abstract

In this paper, we prove best proximity point theorems for types of cyclic $b-$contraction mappings in the setting of complete $b-$ metric spaces which generalize some results in the current literature.

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Published

01-01-2018

How to Cite

J. Beny, & J. Maria Joseph. (2018). Best Proximity Point Theorems for Some Well Known Mappings in Complete $b-$Metric spaces. International Journal of Mathematics And Its Applications, 6(1 - A), 199–204. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/914

Issue

Vol. 6 No. 1 - A (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.