FIXED POINT THEOREM FOR F-KANNAN MAPPING
By
Anil Kumar¹, Priyanka Rani² , Subhashish Biswas³ and Sushma Devi*⁴
¹A.I.J.H.M. College, Rohtak, Haryana, India-124001
²,³Department of Mathematics, Kalinga Universiry, Raipur, Chhattisgarh, India-492101
⁴Kanya Mahavidayalaya, Kharkhoda, Sonipat, Haryana, India-131402
Email: unique4140@gmail.com, priyankagrewalg@gmail.com, shubhb@yahoo.co.in, sheoransushma50841@gmail.com *Corresponding author (Received: October 12, 2022; In format: February 07, 2023; Revised: April 18, 2024; Accepted: April 25, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54131
Abstract
The aim of this paper is to prove a common fixed point theorem for F-Kannan mapping in metric spaces. Also, we extend the concept of F-contraction into F-Kannan mappings motivated by Batra et al. [4].
2020 Mathematical Sciences Classification: 47H10, 54E50, 47H09
Keywords and Phrases: F-contraction, Kannan contraction, fixed point, metric space.