Soriano Arbizu, José María2017-07-052017-07-052000Soriano Arbizu, J.M. (2000). Compact mappings and proper mappings between Banach spaces that share a value. Mathematica Balkanica, 14 (1-2), 161-166.0205-3217http://hdl.handle.net/11441/62024Sufficient 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 constructive and is based upon continuation methods.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Zero pointContinuation methodsC1-homotopySubjective implicit function theoremProper mappingCompact mappingFredholm mappinginfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess