Siddhant- A Journal of Decision Making
  • Year: 2025
  • Volume: 25
  • Issue: 3

Banach Contraction function in b-Metric Space has only One Fixed Point

1Resarch Scholar School of MathematicsDAVV, Indore, Madhya Pradesh, India

2Shri Vaishnav Institute of Management & Science, Indore, Madhya Pradesh, India

Online published on 06 December, 2025.

Abstract

Several Indian mathematicians have made notable contributions to functional analysis. Particularly in the field of Fixed point theory. Anita Tomar a Professor at Gurukul Kangri Vishwavidyalaya focus on fixed point theory and its application. Prof. Santosh Kumar from NEHU has also published extensively on Fixed point theorem in various metric space, R. Kannan (1968) Kannan pioneering study in fixed point theory led to significant result which is independent of Banach contraction principal.

Keywords

Fixed-Point, b-Metrics Pace, Contraction Mapping