Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics
  • Year: 2019
  • Volume: 38E
  • Issue: 2

A new type of α – F – contraction on common fixed point theorems in metric spaces and its application *

  • Author:
  • Garima Gadkari1,, M.S. Rathore2,, Naval Singh3,
  • Total Page Count: 10
  • Published Online: Jun 1, 2019
  • Page Number: 650 to 659

1Department of Mathematics, Mahakal Institute of Technology, Ujjain-456010, Madhya Pradesh, India.

2Department of Mathematics, C.S.A. Govt. P.G. College, Sehore, Madhya Pradesh, India.

3Govt. Science and Commerce P.G. College, Benazeer, Bhopal, Madhya Pradesh, India.

*E-mail: garima27gadkari@gmail.com

Abstract

In this paper we introduce the notion of F – contraction via α– admissible pair of mappings. We also provide many common fixed point results regarding rational expressions in the setting of metric spaces. Moreover, we also present some illustrated examples as an application of this concept and we also establish an existence theorem for integral equations.

Keywords

Common fixed point, Metric space, α– admissible mappings, F – contraction, 47H10, 54H25