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Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces

✍ Scribed by Worawut Laowang; Bancha Panyanak

Book ID
115021564
Publisher
Springer International Publishing AG
Year
2011
Tongue
English
Weight
281 KB
Volume
2011
Category
Article
ISSN
1687-1820

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πŸ“œ SIMILAR VOLUMES

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In this paper, we introduce a condition on multivalued mappings which is a multivalued version of condition (C Ξ» ) defined by Garcia-Falset et al. (2011) [3]. It is shown here that some of the classical fixed point theorems for multivalued nonexpansive mappings can be extended to mappings satisfying

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Let E be a uniformly convex real Banach space with a uniformly GÒteaux differentiable norm. Let K be a closed, convex and nonempty subset of E. Let {T i } ∞ i=1 be a family of nonexpansive self-mappings of K . For arbitrary fixed δ ∈ (0, 1), define a family of nonexpansive maps , where {α n } and {