Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space

Zhanfei Zuo

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-9

Abstract:

It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in ð ¹ to a certain variational inequality, where ð ¹ âˆ¶ = ∩ ∞ ð ‘› = 0 ð ¹ ( 𠑇 ð ‘› ) stands for the common fixed-point set of the family of multivalued nonexpansive mapping { 𠑇 ð ‘› } .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:459085

DOI: 10.1155/2011/459085

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