Evaluation of Fixed Points via S** Iterative Scheme with an Application
Ravi Parkash Bhokal
Department of Mathematics, B.R.S. Govt. College Dujana (Jhajjar), Haryana, India.
Manoj Kumar *
Department of Mathematics, Baba Masthnath University, Asthal Bohar, Rohtak, Haryana, India.
Ashish Kumar
Department of Mathematics, Baba Masthnath University, Asthal Bohar, Rohtak, Haryana, India.
*Author to whom correspondence should be addressed.
Abstract
The aim of this article is to approximate the fixed points of (b,n)-enriched contraction mapping and weak contraction mappings in Banach spaces. We have proved that S** iterative scheme has better efficiency than some of the existing iterative sequences in literature. For validity of our results, we have also proposed suitable numerical examples. Finally, we approximate the solution of delay fractional differential equation using S** iterative scheme.
Keywords: S** iterative scheme, delay fractional differential equation, (b,n)-enriched contraction mapping, weak contraction mapping, stability, rate of convergence, Banach space