Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings

We introduce a new iterative method in this article, called the D iterative approach for fixed point approximation. Analytically, and also numerically, we demonstrate that our established D I.P is faster than the well-known I.P of the prior art. Finally, in a uniformly convex Banach space environmen...

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Veröffentlicht in:Journal of function spaces 2021, Vol.2021, p.1-9
Hauptverfasser: Hussain, Aftab, Hussain, Nawab, Ali, Danish
Format: Artikel
Sprache:eng
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Zusammenfassung:We introduce a new iterative method in this article, called the D iterative approach for fixed point approximation. Analytically, and also numerically, we demonstrate that our established D I.P is faster than the well-known I.P of the prior art. Finally, in a uniformly convex Banach space environment, we present weak as well as strong convergence theorems for Suzuki’s generalized nonexpansive maps. Our findings are an extension, refinement, and induction of several existing iterative literatures.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/6675979