Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2018
  • Volume: 37e
  • Issue: 1

Common Fixed Point for Compatible Mappings of Type (α) Satisfying an Implicit Relation

1Associate Professor; Department of Computer science, Shri Vaishnav Institute of Management, Davi-Ahilya University, Indore, Madhya Pradesh, India-452009. E-mail: jayesh_tiwari2005@yahoo.com

2Professor; Department of Mathematics, Government Madhav Science College, Vikram University, Ujjain, Madhya Pradesh, India-456010. E-mail: rajendartiwari@yahoo.com

*Corresponding Author: Jayesh Tiwari, Associate Professor, Department of Computer science, Shri Vaishnav Institute of Management, Davi-Ahilya University, Indore, Madhya Pradesh, India-452009. E-mail: jayesh_tiwari2005@yahoo.com

Online published on 2 July, 2018.

Abstract

Here we prove a common fixed point theorem for compatible mappings of type (α) satisfying an implicit relation. We extend results of Popa [9] for five mappings.

Keywords

Implicit relation, compatible mappings, complete metric space, fixed point