International Journal of Physical and Social Sciences
  • Year: 2011
  • Volume: 1
  • Issue: 2

A Fixed Point Result By Using Altering Distance Function

  • Author:
  • Krishnapada Das, Indranil Bhaumik, Binayak S. Choudhury
  • Total Page Count: 18
  • Page Number: 136 to 153

Department of Mathematics, Bengal Engineering and Science University, Shibpur Howrah -711103, West Bengal, India

AMS Subject Classification 2010: 47H10, 54H25

Abstract

In this paper we have proved a fixed point theorem in a complete metric space with the help of an altering distance function. The main feature of our theorem is that, it contains square root in the inequality. We have also deduced some consequences of our theorem and supported our result with examples.

Keywords

Contraction, Cauchy sequence, Fixed point, Altering distance function, Kannan type mapping