Amrein, Mario A global Newton-type scheme based on a simplified Newton-type approach. (English) Zbl 1484.37119 J. Appl. Math. Comput. 65, No. 1-2, 321-334 (2021). MSC: 37N30 65H10 46N40 58C15 49M15 PDFBibTeX XMLCite \textit{M. Amrein}, J. Appl. Math. Comput. 65, No. 1--2, 321--334 (2021; Zbl 1484.37119) Full Text: DOI arXiv
Ceng, Lu-Chuan; Köbis, Elisabeth; Zhao, Xiaopeng On general implicit hybrid iteration method for triple hierarchical variational inequalities with hierarchical variational inequality constraints. (English) Zbl 1447.49012 Optimization 69, No. 9, 1961-1986 (2020). MSC: 49J40 47H09 47J20 49M05 46C05 PDFBibTeX XMLCite \textit{L.-C. Ceng} et al., Optimization 69, No. 9, 1961--1986 (2020; Zbl 1447.49012) Full Text: DOI
Arqub, Omar Abu The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations. (English) Zbl 1355.65106 Math. Methods Appl. Sci. 39, No. 15, 4549-4562 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L80 65L70 34A09 46E22 65L05 PDFBibTeX XMLCite \textit{O. A. Arqub}, Math. Methods Appl. Sci. 39, No. 15, 4549--4562 (2016; Zbl 1355.65106) Full Text: DOI
Castro, Luís P.; Fujiwara, Hiroshi; Saitoh, Saburou; Sawano, Yoshihiro; Yamada, Akira Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels. (English) Zbl 1253.46037 Bandle, Catherine (ed.) et al., Inequalities and Applications ’10. Dedicated to the memory of Wolfgang Walter. Selected papers of the 2nd conference on inequalities and applications, Hajdúszoboszló, Hungary, September 19–25, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0248-2/hbk; 978-3-0348-0249-9/ebook). ISNM. International Series of Numerical Mathematics 161, 87-101 (2012). MSC: 46E22 30C40 44A05 44A10 35A22 44A15 35K05 PDFBibTeX XMLCite \textit{L. P. Castro} et al., ISNM, Int. Ser. Numer. Math. 161, 87--101 (2012; Zbl 1253.46037) Full Text: DOI
Tret’yakov, Alexey; Marsden, Jerrold E. Factor-analysis of nonlinear mappings: \(p\)-regularity theory. (English) Zbl 1053.58004 Commun. Pure Appl. Anal. 2, No. 4, 425-445 (2003). Reviewer: Vassil Angelov (Sofia) MSC: 58C15 58K05 35B32 37G10 49K27 46N10 49N60 90C30 65J15 PDFBibTeX XMLCite \textit{A. Tret'yakov} and \textit{J. E. Marsden}, Commun. Pure Appl. Anal. 2, No. 4, 425--445 (2003; Zbl 1053.58004) Full Text: DOI
Akerkar, Rajendra Nonlinear functional analysis. (English) Zbl 0976.46033 New Delhi: Narosa Publishing House. 157 p. (1999). Reviewer: K.Chandrasekhara Rao (Karaikudi) MSC: 46H10 47-01 47H11 47J15 46G05 47H09 PDFBibTeX XMLCite \textit{R. Akerkar}, Nonlinear functional analysis. New Delhi: Narosa Publishing House (1999; Zbl 0976.46033)
Sidorov, N. A.; Markanova, D. Yu.; Abdullin, V. R. On the role of convex majorants in nonlocal existence theorems of implicit functions. Preprint No. 3. (O roli vypuklykh mazhorant v nelokal’nykh teoremakh sushchestvovaniya neyavnykh funktsij.) (Russian) Zbl 0934.58009 Irkutsk: Institut Dinamiki Sistem i Teorii Upravleniya SO RAN, 17 p. (1998). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 58C15 46A40 PDFBibTeX XMLCite \textit{N. A. Sidorov} et al., O roli vypuklykh mazhorant v nelokal'nykh teoremakh sushchestvovaniya neyavnykh funktsij (Russian). Irkutsk: Institut Dinamiki Sistem i Teorii Upravleniya SO RAN (1998; Zbl 0934.58009)
Webster, S. M. An implicit function theorem of the Nash-Moser type. (English) Zbl 0807.46043 Several complex variables, Proc. Mittag-Leffler Inst., Stockholm/Swed. 1987-88, Math. Notes 38, 630-639 (1993). Reviewer: Hu Chuangan (Tianjin) MSC: 46G05 58C15 PDFBibTeX XMLCite \textit{S. M. Webster}, in: Several complex variables: Proceedings of the Mittag-Leffler Institute, Stockholm, Sweden, 1987-1988. Princeton, NJ: Princeton University Press. 630--639 (1993; Zbl 0807.46043)
Argyros, Ioannis K. On an application of a Newton-like method to the approximation of implicit functions. (English) Zbl 0771.47035 Math. Slovaca 42, No. 3, 339-347 (1992). Reviewer: D.Werner (Berlin) MSC: 47J25 47L05 65J15 46G05 PDFBibTeX XMLCite \textit{I. K. Argyros}, Math. Slovaca 42, No. 3, 339--347 (1992; Zbl 0771.47035) Full Text: EuDML
Asano, Kiyoshi A note on the Nash-Moser implicit function theorem. (English) Zbl 0673.46019 Proc. Japan Acad., Ser. A 64, No. 5, 139-142 (1988). Reviewer: J.Durdil MSC: 46G05 58C15 PDFBibTeX XMLCite \textit{K. Asano}, Proc. Japan Acad., Ser. A 64, No. 5, 139--142 (1988; Zbl 0673.46019) Full Text: DOI
Altman, Mieczysław An inverse function theorem for Fréchet spaces. (English) Zbl 0579.47066 Computational mathematics, Banach Cent. Publ. 13, 683-699 (1984). Reviewer: M.Turinici MSC: 47J25 46G05 65J15 58C15 PDFBibTeX XML
Sparing, Hans-Dieter A constructive proof of the implicit function theorem for analytic operators. (English) Zbl 0471.46027 Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech. 1981, No. 2N, 403-406 (1981). MSC: 46G05 46E15 58C15 58C20 PDFBibTeX XMLCite \textit{H.-D. Sparing}, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech. 1981, No. 2N, 403--406 (1981; Zbl 0471.46027)
Trenogin, V. A. Functional analysis. Textbook. (Funktsional’nyj analiz. Uchebnoe posobie). (Russian) Zbl 0517.46001 Moskva: “Nauka”. 495 p. R. 1.30 (1980). MSC: 46-01 46B10 47-01 46G05 46E30 46E35 58-01 65J05 47H10 58C15 PDFBibTeX XML
Bruck, Ronald E.; Reich, Simeon A general convergence principle in nonlinear functional analysis. (English) Zbl 0454.65043 Nonlinear Anal., Theory Methods Appl. 4, 939-950 (1980). MSC: 65J15 46B20 47H06 47J10 47J25 47H20 PDFBibTeX XMLCite \textit{R. E. Bruck} and \textit{S. Reich}, Nonlinear Anal., Theory Methods Appl. 4, 939--950 (1980; Zbl 0454.65043) Full Text: DOI
Flett, T. M. Differential analysis. Differentiation, differential equations and differential inequalities. (English) Zbl 0442.34002 Cambridge etc.: Cambridge University Press. VII, 359 p. £18.00 (1980). MSC: 34-01 46-01 26-01 34A40 34D20 PDFBibTeX XML
Cohn, Donald L. Measure theory. (English) Zbl 0436.28001 Boston, Basel, Stuttgart: Birkhäuser. IX, 373 p. DM 42.00 (1980). MSC: 28-01 28A20 28A25 46E30 28A15 28A35 26B10 28A05 PDFBibTeX XML Backlinks: MO
Hoenig, Chaim Samuel Applications of topology in analysis. (Aplicacoes da topologia a analise). (Portuguese) Zbl 0515.46001 Projeto Euclides, 3. Rio de Janeiro: Instituto de Matematica Pura e Aplicada, CNPq. XIV, 221 p. (1976). MSC: 46-01 54-01 46B03 47H10 46A30 46G05 46E10 PDFBibTeX XML