Common Best Proximity Point Theorem of Two Non-self Mappings Satisfying a Generalized Weak Contractive Condition


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Authors

  • Vinita Dewangan Department of Mathematics, Government J.Y. Chhattishgarh College, Raipur, Chhattishgarh, India
  • Amitabh Banerjee Department of Mathematics, Government S.N. College, Nagari, Dhamtari, Chhattishgarh, India

Keywords:

Common fixed point, weakly contractive non-self mappings, best proximity points, P-property

Abstract

In this paper, we use the notion of weakly contractive non-self mappings and establish the existence of common best proximity points for two mappings which satisfy a generalized weak contractive condition in metric spaces. We also provide an example to illustrate our result.

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Published

15-09-2018

How to Cite

Vinita Dewangan, & Amitabh Banerjee. (2018). Common Best Proximity Point Theorem of Two Non-self Mappings Satisfying a Generalized Weak Contractive Condition. International Journal of Mathematics And Its Applications, 6(3), 69–75. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/361

Issue

Vol. 6 No. 3 (2018)

Section

Research Article

License

Creative Commons License

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