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Nonsmooth Analysis: Weak Stationarity

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Encyclopedia of Optimization

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Article Outline

Keywords

Introduction

Definitions

  Inf-θ-Stationarity and Inf-θ-Regularity

  Inf-τ-Stationarity and Inf-τ-Regularity

  Sup-Stationarity and Sup-Regularity

  Dual Stationarity and Regularity

Formulation

  Relations Between the “Elementary” Constants

  Relations Between the “Strict” Constants

  Relations Between the Primal and Dual Constants

  Differentiable Functions

  Convex Functions

See also

References

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Notes

  1. 1.

    The example was suggested by Alexander Rubinov (personal communication).

References

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Author information

Authors and Affiliations

  1. Centre for Informatics and Applied Optimization, School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Australia

    Alexander Y. Kruger

Authors
  1. Alexander Y. Kruger
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Kruger, A.Y. (2008). Nonsmooth Analysis: Weak Stationarity . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_459

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