Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms

Gursoy, Faik; KARAKAYA, Vatan; Rhoades, B.

doi:10.1155/2014/806537

Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms

Gursoy F. F., KARAKAYA V., Rhoades B. E.

ABSTRACT AND APPLIED ANALYSIS, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2014
Doi Numarası: 10.1155/2014/806537
Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to introduce a new Kirk type iterative algorithm called Kirk multistep iteration and to study its convergence. We also prove some theorems related to the stability results for the Kirk multistep and Kirk-SP iterative processes by employing certain contractive-like operators. Our results generalize and unify some other results in the literature.