In:
Asian-European Journal of Mathematics, World Scientific Pub Co Pte Ltd, Vol. 16, No. 09 ( 2023-09)
Abstract:
The main purpose of this work is to connect the recently introduced iterative approximation scheme known as [Formula: see text]-iterative scheme with the class of generalized [Formula: see text] -nonexpansive mappings. We consider the setting of a Banach space to prove our weak and strong convergence results. Once again, we prove that the class of [Formula: see text]-nonexpansive mapping includes properly the classes of Suzuki nonexpansive, generalized [Formula: see text] -nonexpansive and as well Reich–Suzuki type nonexpansive mappings by providing a numerical example. Eventually, we prove that [Formula: see text]-iterative scheme of this example is essentially more efficient than the other well-known iterative scheme of the literature. The presented work is new and extends some other well-known results in the iterations theory.
Type of Medium:
Online Resource
ISSN:
1793-5571
,
1793-7183
DOI:
10.1142/S1793557123501723
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2023
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