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. 

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