1. Weakly coercive mappings sharing a value
- Creator:
- Soriano, J. M.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- zero point, continuation method, $C^{1}$-homotopy, surjerctive implicit function theorem, proper mapping, compact mapping, coercive mapping, and Fredholm mapping
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public