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Keywords = demicompact

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12 pages, 277 KiB  
Article
Approximation of Fixed Points for Enriched Suzuki Nonexpansive Operators with an Application in Hilbert Spaces
by Kifayat Ullah, Junaid Ahmad, Muhammad Arshad and Zhenhua Ma
Axioms 2022, 11(1), 14; https://doi.org/10.3390/axioms11010014 - 29 Dec 2021
Cited by 8 | Viewed by 1854
Abstract
In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that this new class of mappings properly contains the class of Suzuki nonexpansive as well as the class of enriched nonexpansive mappings. We establish existence of fixed point [...] Read more.
In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that this new class of mappings properly contains the class of Suzuki nonexpansive as well as the class of enriched nonexpansive mappings. We establish existence of fixed point and convergence of fixed point in a Hilbert space setting under the Krasnoselskii iteration process. One of the our main results is applied to solve a split feasibility problem (SFP) in this new setting of mappings. Our main results are a significant improvement of the corresponding results of the literature. Full article
(This article belongs to the Special Issue Theory and Application of Fixed Point)
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