Viscosity Approximation Methods in Reflexive Banach Spaces with a Sequence of Contractions
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 3
Abstract
The aim of this paper is to study viscosity approximation methods in re exive Banach spaces. Let E be a re exive Banach space which admits a weakly sequentially continuous duality mapping j : E → E , C a nonempty closed convex subset of E, μn, n ≥ 1 a sequence of contractions on C and Tn, n = 1, 2, 3, · · ·N a nite family of nonexpansive mappings on C. We show that under appropriate conditions on κ the implicit iterative sequence τ de ned by τ = κμn(τ) + (1 − κ)Tnτ where κ ∈ (0, 1) converges strongly to a common xed point τ ∈ k∩ n=1 FTn. We further show that the results hold for an in nite family Tn, n ∈ N of nonexpansive mappings.
Authors and Affiliations
K. Piesie Frimpong, E. Prempeh
Keywords
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- EP ID EP321893
- DOI 10.9734/BJMCS/2017/33414
- Views 101
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