- Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 35 Issue: 3
- Obtaining New Fixed Point Theorems Using Generalized Banach-Contraction Principle
Obtaining New Fixed Point Theorems Using Generalized Banach-Contraction Principle
Authors : Yunus Atalan
Pages : 34-45
View : 10 | Download : 6
Publication Date : 2020-01-04
Article Type : Research
Abstract :In this study, a new three step iterative algorithm was introduced with the help of Jungck-contraction principle which is one of the remerkable generalizations of Banach-contraction principle. Also, the convergence and stability results were obtained for the pair of nonself mappings which satisfy a certain contractive condition by using this iterative algorithm in any Banach space. In addition, it was shown that the new iterative algorithm has a better convergence speed when compared the other Jungck-type iterative algorithms in the current literature, and to support this result, numerical examples were given.Keywords : Jungck-contraction principle, New iterative algorithm, Convergence, Stability