Weak w2-stability and data dependence of Mann iteration method in Hilbert spaces

Guersoy, Faik; Khan, Abdul; Erturk, Muezeyyen; KARAKAYA, Vatan

doi:10.1007/s13398-017-0447-y

Weak w2-stability and data dependence of Mann iteration method in Hilbert spaces

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

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.113, sa.1, ss.11-20, 2019 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 113 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.1007/s13398-017-0447-y
Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.11-20
Anahtar Kelimeler: Mann iteration, Strongly demicontractive operator, Data dependency, Stability, FIXED-POINTS, STABILITY, CONVERGENCE, EXISTENCE, OPERATORS, MAPPINGS
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We study a weaker and more natural notion of stability called weak w2-stability to get an insight in the corresponding results obtained by Mruter and Mruter (J Comput Appl Math 276:110-116, 2015) and Wang (J Comput Appl Math 285:226-229, 2015). A data dependence result for fixed points of strongly demicontractive operators is also established. Some illustrative examples are given to validate results obtained herein.