Fixed Point Results for Generalized Non-linear Operators with Convergence Analysis
Ravi Parkash Bhokal
B.R.S. Govt. College Dujana (Jhajjar), India.
Manoj Kumar *
Department of Mathematics, Baba Masthnath University, Asthal Bohar, Rohtak, India.
Ashish Kumar
Department of Mathematics, Baba Masthnath University, Asthal Bohar, Rohtak, India.
*Author to whom correspondence should be addressed.
Abstract
The purpose of this research article is to introduce a new iteration scheme and to prove J-iterationconvergence and stability results for it. We also claim the newly introduced iterative scheme has better efficiency than some of the existing iterations in the literature. Our claim is supported by numerical example.
Keywords: J-iteration, Suzuki generalized non expansive mapping, stability