Nonexpansive maps with surjective displacement
نویسندگان
چکیده
We investigate necessary and sufficient conditions for a nonexpansive map $f$ on Banach space $X$ to have surjective displacement, that is, $f - \mathrm{id}$ onto $X$. In particular, we give computable condition when is finite dimensional with polyhedral norm. similar fixed point of norm be unique. also consider applications nonlinear Perron-Frobenius theory suggest some additional displacement uniqueness points.
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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/s11784-021-00917-6