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Quasidifferentiable Optimization: Optimality Conditions

  • Reference work entry
Encyclopedia of Optimization

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Keywords

Directionally Differentiable Functions

Quasidifferentiable Functions

  Examples of q.d. Functions

Calculus of Quasidifferentials

Necessary and Sufficient Conditions for an Unconstrained Optimum

Directions of Steepest Descent and Ascent

Necessary and Sufficient Conditions for a Constrained Optimum

See also

References

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References

  1. Demyanov VF, Rubinov AM (1995) Constructive nonsmooth analysis. P. Lang, Frankfurt am Main

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  2. Demyanov VF, Rubinov AM (eds) (2000) Quasidifferentiablity and related topics. Kluwer, Dordrecht

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  3. Demyanov VF, Vasiliev LV (1986) Nondifferentiable optimization. Springer and Optim. Software, Berlin

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  4. Gorokhovik VV (1986) ε-quasidifferentiability of real-valued functions and optimality conditions in extremal problems. Math Program Stud 29:203–218

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  5. Xia ZQ (1987) On mean-value theorems in quasidifferential calculus. J Math Res Exp Dalian, China, DIT 4:681–684

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Author information

Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    Vladimir F. Demyanov

Authors
  1. Vladimir F. Demyanov
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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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Demyanov, V.F. (2008). Quasidifferentiable Optimization: Optimality Conditions . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_550

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