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

Rabah Belbaki, E. Karapinar, Amar Ould Hammouda

• 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.