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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An implicit function theorem without differentiability
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by J. Warga PDF
Proc. Amer. Math. Soc. 69 (1978), 65-69 Request permission

Abstract:

We combine a “global” version of the classical inverse function theorem with Schauder’s fixed point theorem to investigate the existence and continuity properties of a function $(F,x) \to \eta (F,x)$ such that $\eta (F,x) = F(\eta (F,x),x)$.
References
    C. Berge, Topological spaces, Macmillan, New York, 1963.
  • J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. X, Academic Press, New York-London, 1960. MR 0120319
  • Daniel H. Wagner, Survey of measurable selection theorems, SIAM J. Control Optim. 15 (1977), no. 5, 859–903. MR 486391, DOI 10.1137/0315056
  • J. Warga, Optimal control of differential and functional equations, Academic Press, New York-London, 1972. MR 0372708
  • Jack Warga, Derivative containers, inverse functions, and controllability, Calculus of variations and control theory (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1975; dedicated to Laurence Chisholm Young on the occasion of his 70th birthday), Publ. Math. Res. Center Univ. Wisconsin, No. 36, Academic Press, New York, 1976, pp. 13–45; errata, p. 46. MR 0427561
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 69 (1978), 65-69
  • MSC: Primary 58C15
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0488116-3
  • MathSciNet review: 0488116