Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings. (11th March 2021)

• Record Type: Journal Article
• Authors: Hussain, Aftab; Hussain, Nawab; Ali, Danish
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-03-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6675979
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.