SOME FIXED POINT RESULTS FOR CYCLIC ( ψ, φ, Z) - CONTRACTION IN PARTIAL METRIC SPACES
By
R. Jahir Hussain and K. Manoj
PG & Research Department of Mathematics
Jamal Mohamed College (Autonomous) (Aliated to Bharathidasan University)
Tiruchirapplli, Tamilnadu, India-620020
Email: hssn jhr@yahoo.com, manojguru542@gmail.com
(Received: January 19, 2023; In format: February 03, 2023; Revised: February 07, 2023; Accepted: February 08, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53115
Abstract
In this paper, we present a new type of cyclic (ψ, φ, Z )− contraction which is a combination of cyclic (ψ, φ, A, B)− contraction and Z −contraction in the framework of complete partial metric space with the help of simulation function. We investigate the existence of fixed point result using cyclic
(ψ, φ, Z )− contraction in the setting of complete partial metric space. Also we give an example to clarify the main result.
2020 Mathematical Sciences Classification: 47H09, 47H10, 54H25.
Keywords and Phrases: Partial metric spaces, Simulation function, Cyclic mapping, Cyclic (ψ, φ, Z)- contraction.
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