Yazarlar |
Godwin Amechi Okeke
|
Cyril Ifeanyichukwu Ugwuogor
|
Rubayyi Alqahtani
|
Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye |
Nadiyah Hussain Alharthi
|
Özet |
We introduce the modified Picard-Ishikawa hybrid iterative scheme and establish some strong convergence results for the class of asymptotically generalized ∅-pseudocontractive mappings in the intermediate sense in Banach spaces and approximate the fixed point of this class of mappings via the newly introduced iteration scheme. We construct some numerical examples to support our results. Furthermore, we apply the Picard-Ishikawa hybrid iteration scheme in solving the nonlinear Caputo type fractional differential equations. Our results generalize, extend and unify several existing results in literature. |
Anahtar Kelimeler |
Asymptotically generalized ∅-pseudocontractive mappings in the intermediate sense | Banach spaces | iterative process | modified Picard{Ishikawa hybrid iterative process | nonlinear Caputo type fractional differential equations |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | International Journal of Modern Physics C |
Dergi ISSN | 0129-1831 |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q2 |
Makale Dili | Türkçe |
Basım Tarihi | 05-2024 |
Sayı | 1 |
Doi Numarası | 10.1142/S0129183124501766 |
Makale Linki | http://dx.doi.org/10.1142/s0129183124501766 |