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Matematicheskie Zametki, 2016, Volume 99, Issue 4, Pages 631–634
DOI: https://doi.org/10.4213/mzm11062 (Mi mzm11062) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Brief Communications

Inverse and Implicit Function Theorems in the Class of Subsmooth Maps

I. V. Orlov

Crimea Federal University
Full-text PDF (321 kB) Citations (8)
References:
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DOI: https://doi.org/10.4213/mzm11062
Keywords: subsmooth map, suboperator, sublinear suboperator, positive subdefinite suboperator, subcontinuity, subinvertibility, subdifferential.
Funding agency Grant number
Russian Science Foundation 14-21-00066
This work was supported by the Russian Science Foundation under grant 14-21-00066.
Received: 12.10.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 4, Pages 619–622
DOI: https://doi.org/10.1134/S000143461603038X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Orlov, “Inverse and Implicit Function Theorems in the Class of Subsmooth Maps”, Mat. Zametki, 99:4 (2016), 631–634; Math. Notes, 99:4 (2016), 619–622
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm11062
  • https://doi.org/10.4213/mzm11062
  • https://www.mathnet.ru/eng/mzm/v99/i4/p631
    • This publication is cited in the following 8 articles:
    1. F. S. Stonyakin, “Hahn–Banach type theorems on functional separation for convex ordered normed cones”, Eurasian Math. J., 10:1 (2019), 59–79  mathnet  crossref
    2. I. V. Orlov, “The Method of Lagrange Multipliers for the Class of Subsmooth Mappings”, Math. Notes, 103:2 (2018), 323–327  mathnet  crossref  crossref  mathscinet  isi  elib
    3. I. V. Orlov, “Generalized Hamel basis and basis extension in convex cones and uniquely divisible semigroups”, Eurasian Math. J., 9:1 (2018), 69–82  mathnet
    4. F. S. Stonyakin, “A Sublinear Analog of the Banach–Mazur Theorem in Separable Convex Cones with Norm”, Math. Notes, 104:1 (2018), 111–120  mathnet  crossref  crossref  mathscinet  isi  elib
    5. I. V. Orlov, “Embedding of a Uniquely Divisible Abelian Semigroup In a Convex Cone”, Math. Notes, 102:3 (2017), 361–368  mathnet  crossref  crossref  mathscinet  isi  elib
    6. I. V. Orlov, “Subdifferentials via sub-operators”, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V. F. Demyanov) (CNSA), ed. L. Polyakova, IEEE, 2017, 235–238  isi
    7. Igor V. Orlov, 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017, 1  crossref
    8. F. S. Stonyakin, “An analogue of the Hahn–Banach theorem for functionals on abstract convex cones”, Eurasian Math. J., 7:3 (2016), 89–99  mathnet  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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