Belbaki, RabahKarapinar, E.Ould-Hammouda, AmarMathematics2024-07-052024-07-0520181989-414710.4995/agt.2018.102132-s2.0-85055198072https://doi.org/10.4995/agt.2018.10213https://hdl.handle.net/20.500.14411/2957KARAPINAR, ERDAL/0000-0002-6798-3254In 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-1([0, 1]). Our results generalize and unify the several related results in the literature.eninfo:eu-repo/semantics/openAccessfixed pointKrasnoselskii iterationmonotone mappingReich type lambda - alpha-nonexpansive mappingoptial propertyOn Reich Type Λ - Α-Nonexpansive Mapping in Banach Spaces With Applications To <i>l</I><sub>1<Article192291305WOS:0004461225000101