Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2021
  • Volume: 40e
  • Issue: 1

Some fixed point theorems on b-metric spaces*

  • Author:
  • Jayesh Tiwari1, Dileep Kumar Sharma2, Koti NVV Vara Prasad3
  • Total Page Count: 8
  • Published Online: Jul 21, 2021
  • Page Number: 18 to 25

1Department of Computer Science, Shri Vaishnav Institute of Management, Devi Ahilya University, Indore, Madhya Pradesh-452009, India

2Department of Mathematics, Government Polytechnic College, Barwani, Madhya Pradesh-451551, India., Department of Technical Education, Bhopal, Madhya Pradesh, India

3Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh-495009, India

†Corresponding author Jayesh Tiwari, E-mail: jayesh_tiwari2005@yahoo.com

**E-mail: dileep.ksharmadec1972@gmail.com

***E-mail: kvaraprasad71@gmail.com

Abstract

In this paper, we introduce new contractive mappings in the setup of completeness and uniqueness of fixed point theorem on b-metric space. We improve the recent fixed point results established by Agrawal et al. (Agrawal, S., Qureshi, K. and Nema, J., A fixed point theorems for b-metric space, IJPAM, 9(1), 2016, 45–50). We also show that different contractive type mappings exist in b-metric space.

Keywords

B-metric space, Fixed point, Contraction mappings