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

• Autores: Rabah Belbaki, E. Karapinar, Amar Ould Hammouda
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 19, Nº. 2, 2018, págs. 291-305
• Idioma: inglés
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• Resumen

  • 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.