Best Proximity Point Theorems for Generalized Weakly Contractive Mappings


Abstract views: 37 / PDF downloads: 17

Authors

  • S. Arul Ravi P.G. and Research Department of Mathematics, St.Joseph’s College(Autonomous), Tiruchirappalli, Tamilnadu, India
  • A. Anthony Eldred P.G. and Research Department of Mathematics, St.Joseph’s College(Autonomous), Tiruchirappalli, Tamilnadu, India

Keywords:

Best proximity point, P-property, Boyd and Wong contraction, Generalized weakly contractive

Abstract

Recently, J.Calallero(Fixed Point Theory and Applications 2012, 2012:231) observed best proximity results for Geraghty-contractions by using the P-property. In this paper we introduce the notion of Boyd and wong result and Generalized weakly contractive mapping and show the existence and uniqueness of the best proximity point of such contractions in the setting of a metric space.

 

 

Author Biographies

S. Arul Ravi, P.G. and Research Department of Mathematics, St.Joseph’s College(Autonomous), Tiruchirappalli, Tamilnadu, India

 

 

A. Anthony Eldred, P.G. and Research Department of Mathematics, St.Joseph’s College(Autonomous), Tiruchirappalli, Tamilnadu, India

 

 

Downloads

Published

15-06-2016

How to Cite

S. Arul Ravi, & A. Anthony Eldred. (2016). Best Proximity Point Theorems for Generalized Weakly Contractive Mappings. International Journal of Mathematics And Its Applications, 4(2 - D), 81–88. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1071

Issue

Vol. 4 No. 2 - D (2016)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

Creative Commons License

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