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

Some Fixed Point Theorems for Mappings on Complete Sb-Metric Space

Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat, Haryana, India-131039

*Corresponding Author: Manju Rani, Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat, Haryana, India-131039. E-mail: manjuantil7@gmail.com

Online published on 2 July, 2018.

Abstract

In this paper, we prove some common fixed point theorems in sb-metric space using an increasing function Φ0, ∞) → Φ0, ∞) with limn → ∞ Φ(t)= 0 and Φ(t) < t for each fixed t ≫ 0. Our results extend the result of Savitri & Hooda [∞] of S-metric space.