A New Faster Iterative Scheme for Numerical Fixed Points Estimation of Suzuki's Generalized Nonexpansive Mappings

Hassan S., De La Sen M., Agarwal P., Ali Q., Hussain A.

Mathematical Problems in Engineering, cilt.2020, 2020 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2020
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1155/2020/3863819
  • Dergi Adı: Mathematical Problems in Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Uşak Üniversitesi Adresli: Hayır

Özet

The purpose of this paper is to introduce a new four-step iteration scheme for approximation of fixed point of the nonexpansive mappings named as S∗iteration scheme which is faster than Picard, Mann, Ishikawa, Noor, Agarwal, Abbas, Thakur, and Ullah iteration schemes. We show the stability of our proposed scheme. We present a numerical example to show that our iteration scheme is faster than the aforementioned schemes. Moreover, we present some weak and strong convergence theorems for Suzuki's generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. Our results extend, improve, and unify many existing results in the literature.