On Reich type λ−α-nonexpansive mapping in Banach spaces with applications to L1([0,1])
Rabah Belbaki, Erdal Karapınar, Amar Ould-Hammouda · Applied General Topology · 2018
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 L1([0,1]). Our results generalize and unify the several related results in the literature.