# 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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- Soriano, J. M., 10.1016/j.na.2008.08.015, Nonlinear Anal. Theory Methods Appl. 70 (2009), 4118-4121. (2009) Zbl1176.58005MR2515328DOI10.1016/j.na.2008.08.015
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