Coincidences of Nonself Operators by a Simpler Algorithm

Gursoy F., Khan A. R., Erturk M., KARAKAYA V.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.41, sa.2, ss.192-208, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/01630563.2019.1620770
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.192-208
  • Anahtar Kelimeler: Banach space, data dependency, Jungck-Khan iterative algorithm, strong convergence, CONTRACTIVE TYPE OPERATORS, S ITERATIVE METHOD, FIXED-POINT, CONVERGENCE, STABILITY
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this article, we introduce a new class of contractive mappings and study analytical and computational aspects of a special case of Jungck-Khan iterative algorithm generated by this class of mappings. In particular, we improve upon strong convergence, rate of convergence and data dependence results existing in the current literature. Analytical as well numerical illustrative examples are given to support the new results.