Iterated nonexpansive mappings in Hilbert spaces
نویسندگان
چکیده
Abstract In [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 question about existence of a fixed point free continuous INEA mapping T defined on closed convex bounded subset (or weakly compact subset) Banach space with normal structure. Our main goal is to give affirmative answer this problem in very special case Hilbert space.
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ژورنال
عنوان ژورنال: Journal of Fixed Point Theory and Applications
سال: 2021
ISSN: ['1661-7746', '1661-7738']
DOI: https://doi.org/10.1007/s11784-021-00898-6