Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings
Author(s) -
Aftab Hussain,
Nawab Hussain,
Danish Ali
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/6675979
Subject(s) - banach space , convergence (economics) , regular polygon , extension (predicate logic) , mathematics , iterative method , scheme (mathematics) , fixed point , discrete mathematics , point (geometry) , mathematical optimization , pure mathematics , computer science , mathematical analysis , geometry , economics , programming language , economic growth
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.
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