On Reich type λ−α-nonexpansive mapping in Banach spaces with applications to L1([0,1])

Author:

Belbaki Rabah,Karapinar E.ORCID,Ould-Hammouda, Amar

Abstract

<p>In this manuscript we introduce a new class of monotone generalized nonexpansive mappings and establish some weak and strong convergence theorems for Krasnoselskii iteration in the setting of a Banach space with partial order. We consider also an application to the space L<sub>1</sub>([0,1]). Our results generalize and unify the several related results in the literature.</p>

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

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