PPF DEPENDENCE FIXED POINT RESULTS OVER C*-ALGEBRA-VALUED METRIC SPACE
By
R. Jahir Husain, K Manoj and D. Dhamodharan
PG & Research Department of Mathematics, Jamal Mohamed College(Autonomous)(Affiliated to Bharathidasan
University), Tiruchirapplli-620020, Tamilnadu, India
Email: hssn jhr@yahoo.com, manojguru542@gmail.com, dharan raj28@yahoo.co.in
(Received: August 03, 2022; In format: September 01, 2022; Revised: November 25, 2022; Accepted: November 27, 2022)
DOI: https://doi.org/10.58250/jnanabha.2022.52230
Abstract
In this paper, we prove the existence of PPF(Past,Present,Future) dependent fixed point results via using C*-algebra-valued metric spaces. Also we use Banach contraction to find a PPF dependent fixed point in the setting of C*-algebra-valued metric spaces.
2020 Mathematical Sciences Classification: 46N20,47H09, 47H10.
Keywords and Phrases: PPF dependent fixed point, C*-Algebra-valued metric space, Razumikhin class, Algebraically closed.