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Article
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 ...
Article
Fredholm mappings and Banach manifolds
(Korean Mathematical Society, 2009)
Two C1-mappings, whose domain is a connected compact C1-Banach manifold modelled over a Banach space X over K = R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert ...
Article
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.
Article
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.