Proceedings of the American Mathematical Society

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

 

 

Mean value inequalities


Authors: F. H. Clarke and Yu. S. Ledyaev
Journal: Proc. Amer. Math. Soc. 122 (1994), 1075-1083
MSC: Primary 26E15
MathSciNet review: 1212282
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove a new type of mean value theorem, one in which the functional differences are estimated in multiple directions simultaneously.


References [Enhancements On Off] (What's this?)

  • [1] Frank H. Clarke, Optimization and nonsmooth analysis, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1983. A Wiley-Interscience Publication. MR 709590
  • [2] Klaus Deimling, Ordinary differential equations in Banach spaces, Lecture Notes in Mathematics, Vol. 596, Springer-Verlag, Berlin-New York, 1977. MR 0463601
  • [3] James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
  • [4] D. R. Smart, Fixed point theorems, Cambridge University Press, London-New York, 1974. Cambridge Tracts in Mathematics, No. 66. MR 0467717

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1212282-4
Keywords: Mean value theorem
Article copyright: © Copyright 1994 American Mathematical Society