Fixed point property of direct sums

For a uniformly convex space Z, we show that Z-direct sums (X1⊕⋯⊕XN)Z of Banach spaces X1,...,XN with R(a,Xi)<1+a for some a ∈(0,1] have the fixed point property for nonexpansive mappings. As a direct consequence, the result holds for all ψ-direct sums with ψ being strictly convex. The same resul...

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Bibliographic Details
Main Authors: S. Dhompongsa, A. Kaewcharoen, A. Kaewkhao
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=28044438707&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62289
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Institution: Chiang Mai University
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