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2011 Structure of the Fixed-point Set of Asymptotically Regular Mappings in Uniformly Convex Banach Spaces
Jarosław Górnicki
Taiwanese J. Math. 15(3): 1007-1020 (2011). DOI: 10.11650/twjm/1500406281

Abstract

It is shown that the set of fixed-points of some asymptotically regular mappings in uniformly convex Banach spaces is not only connected but even a retract of a domain. The results presented in this paper improve and extend some results in [11, 13].

Citation

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Jarosław Górnicki. "Structure of the Fixed-point Set of Asymptotically Regular Mappings in Uniformly Convex Banach Spaces." Taiwanese J. Math. 15 (3) 1007 - 1020, 2011. https://doi.org/10.11650/twjm/1500406281

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1278.47052
MathSciNet: MR2829894
Digital Object Identifier: 10.11650/twjm/1500406281

Subjects:
Primary: 47H09 , 47H10
Secondary: 47B20 , 54C15

Keywords: asymptotic center , asymptotically regular mapping , fixed point , Retract , uniformly convex Banach space

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 3 • 2011
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