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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Main Authors: | , , |
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Format: | Conference or Workshop Item |
Language: | English |
Published: |
2014
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Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-28044438707&partnerID=40&md5=c24707ee3c75db04bfaffdc7706a32f1 http://cmuir.cmu.ac.th/handle/6653943832/4924 |
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Institution: | Chiang Mai University |
Language: | English |