Iterated nonexpansive mappings in Hilbert spaces
Keyword(s):
AbstractIn [T. Dominguez Benavides and E. Llorens-Fuster, Iterated nonexpansive mappings, J. Fixed Point Theory Appl. 20 (2018), no. 3, Paper No. 104, 18 pp.], the authors raised the question about the existence of a fixed point free continuous INEA mapping T defined on a closed convex and bounded subset (or on a weakly compact convex subset) of a Banach space with normal structure. Our main goal is to give the affirmative answer to this problem in the very special case of a Hilbert space.
1986 ◽
Vol 38
(3)
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pp. 728-750
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2018 ◽
pp. 102-115
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2003 ◽
Vol 2003
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pp. 311-324
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1976 ◽
Vol 19
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pp. 7-12
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2002 ◽
Vol 31
(4)
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pp. 251-257
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