Obtaining New Fixed Point Theorems Using Generalized Banach-Contraction Principle

Yunus ATALAN

Makale detayları

Obtaining New Fixed Point Theorems Using Generalized Banach-Contraction Principle

Yazarlar:

Yunus ATALAN

Yayıncı:

Erciyes University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi 2020 Vol.35 Issue 3, pp.34-45

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000410256

pISSN:

1012-2354

Özet:

 

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.

Makale detayları

Obtaining New Fixed Point Theorems Using Generalized Banach-Contraction Principle

Yazarlar: Yunus ATALAN

Yayıncı: Erciyes University

Ana Başlıklar: Uygulamalı fizik

Dergi: Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi 2020 Vol.35 Issue 3, pp.34-45

Belge Tipi: Makale

Yayın Tarihi: 1/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000410256

pISSN: 1012-2354

Sayı

Yazarlar:

Yunus ATALAN

Yayıncı:

Erciyes University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi 2020 Vol.35 Issue 3, pp.34-45

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000410256

pISSN:

1012-2354