Estimating fixed points of non-expansive mappings with an application

Jubair M., Khan F. A., Ali J., SARAÇ Y.

AIMS MATHEMATICS, cilt.6, sa.9, ss.9590-9601, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3934/math.2021558
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.9590-9601
  • Anahtar Kelimeler: fixed points, non-expansive mappings, iterative schemes, uniformly convex Banach space, second order ordinary differential equation, NONEXPANSIVE-MAPPINGS, ITERATIVE SCHEME, WEAK-CONVERGENCE, THEOREMS
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we study a three step iterative scheme to estimate fixed points of non-expansive mappings in the framework of Banach spaces. Further, some convergence results are proved for such mappings. A nontrivial numerical example is presented to verify our assertions and main results. Finally, we approximate the solution of a boundary value problem of second order differential equation.