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Artículo
Compact mappings and proper mappings between Banach spaces that share a value
(Bulgarian Academy of Sciences, 2000)
Sufficient conditions are given to assert that differentiable compact mappings and differentiable proper mappings between Banach spaces share a value. The conditions involve Fredholm operators. The proof of the result is ...
Artículo
Weakly coercive mappings sharing a value
(Academy of Sciences of Czech Republic, Mathematical Institute, 2011)
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 K has at least one zero. When conditions are strengthened, ...
Artículo
A Fredholm mapping of index zero
(Korean Mathematical Society, 2008)
Sufficient conditions are given to assert that between any two Banach spaces over K Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.
Artículo
A zero of a proper mapping
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2003)
Sufficient conditions are given to assert that a differentiable proper Fredholm mapping between Banach spaces over K = R or K = C has a zero. The proof of the result is constructive and is based upon continuation methods.