International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 7

Best proximity point theorems for (α−ψ) rational proximal contraction mappings in multiplicative metric spaces

  • Author:
  • A. Mary Priya Dharsini, U. Karuppiah
  • Total Page Count: 15
  • Page Number: 236 to 250

Department of Mathematics, Holy Cross College (Autonomous), Tiruchirappalli-620 002

Online published on 19 April, 2019.

Abstract

In this paper, we discuss α−ψ rational proximal contraction mappings in setting of multiplicative metric spaces. Our main results improve and extend several results in the literature. As an application we deduce the best proximity point and fixed point results in multiplicative metric spaces.

Keywords

Best proximity points, fixed points, multiplicative metric spaces, α−ψ rational proximal contractive mappings