Estimating fixed points of non-expansive mappings with an application
AIMS MATHEMATICS, cilt.6, sa.9, ss.9590-9601, 2021 (SCI-Expanded, Scopus)
- 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.