Local Extrema in Normed Linear Spaces

  • John L. Troutman
Part of the Undergraduate Texts in Mathematics book series (UTM)


In ℝd, it is possible to give conditions which are necessary in order that a function f have a local extremal value on a subset D, expressed in terms of the vanishing of its gradient ∇f (§0.5). In this chapter, we shall obtain analogous variational conditions which are necessary to characterize local extremal values of a function J on a subset D of a linear space Y supplied with a norm which assigns a “length” to each yY.




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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • John L. Troutman
    • 1
  1. 1.Department of MathematicsSyracuse UniversitySyracuseUSA

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