Weakly coercive mappings sharing a value
Czechoslovak Mathematical Journal (2011)
- Volume: 61, Issue: 1, page 65-72
- ISSN: 0011-4642
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topSoriano, J. M.. "Weakly coercive mappings sharing a value." Czechoslovak Mathematical Journal 61.1 (2011): 65-72. <http://eudml.org/doc/196357>.
@article{Soriano2011,
abstract = {Some sufficient conditions are provided that guarantee that the difference of a compact mapping and a proper mapping defined between any two Banach spaces over $\mathbb \{K\}$ has at least one zero. When conditions are strengthened, this difference has at most a finite number of zeros throughout the entire space. The proof of the result is constructive and is based upon a continuation method.},
author = {Soriano, J. M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {zero point; continuation method; $C^\{1\}$-homotopy; surjerctive implicit function theorem; proper mapping; compact mapping; coercive mapping; Fredholm mapping; zero point; continuation method; -homotopy; surjective implicit function theorem; proper mapping; compact mapping; coercive mapping; Fredholm mapping},
language = {eng},
number = {1},
pages = {65-72},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weakly coercive mappings sharing a value},
url = {http://eudml.org/doc/196357},
volume = {61},
year = {2011},
}
TY - JOUR
AU - Soriano, J. M.
TI - Weakly coercive mappings sharing a value
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 1
SP - 65
EP - 72
AB - Some sufficient conditions are provided that guarantee that the difference of a compact mapping and a proper mapping defined between any two Banach spaces over $\mathbb {K}$ has at least one zero. When conditions are strengthened, this difference has at most a finite number of zeros throughout the entire space. The proof of the result is constructive and is based upon a continuation method.
LA - eng
KW - zero point; continuation method; $C^{1}$-homotopy; surjerctive implicit function theorem; proper mapping; compact mapping; coercive mapping; Fredholm mapping; zero point; continuation method; -homotopy; surjective implicit function theorem; proper mapping; compact mapping; coercive mapping; Fredholm mapping
UR - http://eudml.org/doc/196357
ER -
References
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