Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations.
Caballero, J., Harjani, J., Sadarangani, K. (2010)
Fixed Point Theory and Applications [electronic only]
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Caballero, J., Harjani, J., Sadarangani, K. (2010)
Fixed Point Theory and Applications [electronic only]
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In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.