Arutyunov, Aram V.; Zhukovskiy, Sergey E. Global and semilocal theorems on implicit and inverse functions in Banach spaces. (English. Russian original) Zbl 07498875 Sb. Math. 213, No. 1, 1-41 (2022); translation from Mat. Sb. 213, No. 1, 1-41 (2022). Reviewer: Bangti Jin (London) MSC: 47J07 54H25 26B10 PDFBibTeX XMLCite \textit{A. V. Arutyunov} and \textit{S. E. Zhukovskiy}, Sb. Math. 213, No. 1, 1--41 (2022; Zbl 07498875); translation from Mat. Sb. 213, No. 1, 1--41 (2022) Full Text: DOI
Arutyunov, A. V.; Karamzin, D. Yu Regular zeros of quadratic maps and their application. (English) Zbl 1232.26010 Sb. Math. 202, No. 6, 783-806 (2011); translation from Mat. Sb. 202, No. 6, 3-28 (2011). Reviewer: Gerald A. Heuer (Moorhead) MSC: 26B10 47J05 58C15 58C25 PDFBibTeX XMLCite \textit{A. V. Arutyunov} and \textit{D. Y. Karamzin}, Sb. Math. 202, No. 6, 783--806 (2011; Zbl 1232.26010); translation from Mat. Sb. 202, No. 6, 3--28 (2011) Full Text: DOI
Avakov, E. R.; Arutyunov, A. V. Inverse function theorem and conditions of extremum for abnormal problems with non-closed range. (English) Zbl 1161.47044 Sb. Math. 196, No. 9, 1251-1269 (2005); translation from Mat. Sb. 196, No. 9, 3-22 (2005). Reviewer: Dian K. Palagachev (Bari) MSC: 47J07 49K27 PDFBibTeX XMLCite \textit{E. R. Avakov} and \textit{A. V. Arutyunov}, Sb. Math. 196, No. 9, 1251--1269 (2005; Zbl 1161.47044); translation from Mat. Sb. 196, No. 9, 3--22 (2005) Full Text: DOI
Arutyunov, A. V. Implicit function theorem as a realization of the Lagrange principle. Abnormal points. (English. Russian original) Zbl 0958.47036 Sb. Math. 191, No. 1, 1-24 (2000); translation from Mat. Sb. 191, No. 1, 3-26 (2000). Reviewer: S.S.Kutateladze (Novosibirsk) MSC: 47J07 PDFBibTeX XMLCite \textit{A. V. Arutyunov}, Sb. Math. 191, No. 1, 3--26 (2000; Zbl 0958.47036); translation from Mat. Sb. 191, No. 1, 3--26 (2000) Full Text: DOI