Best Proximity Points for Generalized $\alpha-\psi$-Geraghty Contractive Mappings


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Authors

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

Keywords:

Best proximity point, P-property, $\alpha-\psi$-Geraghty contraction, $\alpha$-admissible, triangular-$\alpha$-admissible, $\alpha$-regular

Abstract

In this paper we consider a generalization of $\alpha-\psi$-Geraghty contractions and investigate the existence and uniqueness of best proximity point for the mappings satisfying this condition using the P-property.

 

Author Biographies

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

 

 

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

 

 

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Published

01-09-2016

How to Cite

S. Arul Ravi, & A. Anthony Eldred. (2016). Best Proximity Points for Generalized $\alpha-\psi$-Geraghty Contractive Mappings. International Journal of Mathematics And Its Applications, 4(3 - A), 173–180. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/982

Issue

Vol. 4 No. 3 - A (2016)

Section

Research Article

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