Convergence of a Viscosity Iterative Method for Multivalued Nonself-Mappings in Banach Spaces

Jong Soo Jung

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

Let be a reflexive Banach space having a weakly sequentially continuous duality mapping with gauge function , a nonempty closed convex subset of , and a multivalued nonself-mapping such that is nonexpansive, where . Let be a contraction with constant . Suppose that, for each and , the contraction defined by has a fixed point . Let , and be three sequences in satisfying approximate conditions. Then, for arbitrary , the sequence generated by for all converges strongly to a fixed point of .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:369412

DOI: 10.1155/2013/369412

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