Viscosity Approximation Methods in Reexive Banach Spaces
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 2
Abstract
In this paper, we study viscosity approximation methods in reexive Banach spaces. Let X be a re exive Banach space which admits a weakly sequentially continuous duality mapping j : X ! X, C a nonempty closed convex subset of X, hn, where n 1 a sequence of contractions on C and Tn, n = 1; 2; 3; N, for N 2 N, a nite family of commuting nonexpansive mappings on C. We show that under appropriate conditions on n the explicit iterative sequence n de ned by n+1 = nhn( n) + (1 ô€€€ n)Tn n; n 1; 1 2 C where n 2 (0; 1) converges strongly to a common xed point 2NT k=1 F k : We consequently show that the results is true for an in nite family Tn; n = 1; 2; 3; of commuting nonexpansive mapping on C.
Authors and Affiliations
K. Piesie Frimpong, E. Prempeh
Keywords
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- EP ID EP322655
- DOI 10.9734/BJMCS/2017/33396
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