Obtaining New Fixed Point Theorems Using Generalized Banach-Contraction Principle

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Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume: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 : 45 | Download : 16

Publication Date : 2020-01-04

Article Type : Research Paper

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

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