Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Open Access
  • Year: 2010
  • Volume: 29e
  • Issue: 1

A fixed point theorem for two pairs of compatible mappings on metric space

  • Author:
  • Neeraj Anant Pande, J. Achari
  • Total Page Count: 8
  • Page Number: 117 to 124

Department of Mathematics & Statistics, Yeshwant Mahavidyalaya, Nanded – 431602, Maharashtra, India

* 69-B, Ramanand Nagar, Near Pawdewadi Naka, Nanded – 431605, Maharashtra

2000 Mathematics Subject Classification: 47H10, 54H25

Abstract

Two pairs of compatible metrical mappings are considered which are having the property that ranges of two of them are being covered under those of the compatibility partners of the other. Continuity of any one mappings guarantees the existence of unique common fixed point for all of them, and consequently of all their inter-compositions, under a contraction condition. This work generalizes Fishers result and the very own similar result of authors for commuting mappings.

Keywords

Compatible Mappings, Fixed Point, Complete Metric Space