Rocky Mountain Journal of Mathematics

An Implicit Function Theorem

I.V. Zhuravlev, A.Yu. Igumnov, and V.M. Miklyukov

Full-text: Open access

PDF File (106 KB)

Article information

Source
Rocky Mountain J. Math., Volume 36, Number 1 (2006), 357-365.

Dates
First available in Project Euclid: 5 June 2007

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1181069504

Digital Object Identifier
doi:10.1216/rmjm/1181069504

Mathematical Reviews number (MathSciNet)
MR2228200

Zentralblatt MATH identifier
1158.49021

Subjects
Primary: 26B35: Special properties of functions of several variables, Hölder conditions, etc.
Secondary: 26B10: Implicit function theorems, Jacobians, transformations with several variables

Citation

Zhuravlev, I.V.; Igumnov, A.Yu.; Miklyukov, V.M. An Implicit Function Theorem. Rocky Mountain J. Math. 36 (2006), no. 1, 357--365. doi:10.1216/rmjm/1181069504. https://projecteuclid.org/euclid.rmjm/1181069504


Export citation

References

  • M. Cristea, Local inversion theorems and implicit function theorems without assuming continuous differentiability, Bull. Math. Soc. Sci. Math. Roumainie 36 (1992), 227-236.
    Mathematical Reviews (MathSciNet): MR1307716
    Zentralblatt MATH: 0811.30016
  • R.A. Horn and C.R. Johnson, Matrix analysis, Cambridge University Press, Cambridge, 1986.
    Mathematical Reviews (MathSciNet): MR1084815
  • B.H. Pourciau, Analysis and optimization of Lipschitz continuous mappings, J. Optim. Theory Appl. 22 (1977), 311-351.
    Mathematical Reviews (MathSciNet): MR454813
    Zentralblatt MATH: 0336.26008
    Digital Object Identifier: doi:10.1007/BF00932859
  • J. Warga, Fat homeomorphisms and unbounded derivate containers, J. Math. Anal. Appl. 81 (1981), 545-560.
    Mathematical Reviews (MathSciNet): MR622836
    Zentralblatt MATH: 0476.26006
    Digital Object Identifier: doi:10.1016/0022-247X(81)90081-0
  • I.V. Zhuravlev and A.Yu. Igumnov, On implicit functions, Proc. of Dept. of Mathematical Analysis and Functions Theory, Volgograd State Univ. Press, Volgograd (2002), 41-46.

Rocky Mountain Mathematics Consortium

Rocky Mountain Journal of Mathematics

New content alerts

Email RSS ToC RSS Article
  • You have access to this content.
  • You have partial access to this content.
  • You do not have access to this content.
Turn Off MathJax

What is MathJax?

More like this

+ See more