Proceedings of the Centre for Mathematics and its Applications

Invexity in nonlinear programs and control problems

I. Smart

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Abstract

Subject to certain regularity hypotheses, the Kuhn-Tucker conditions are necessary for optimality in nonlinear programs. These conditions become sufficient under assumptions of invexity. This paper presents some known results and new observations on invexity, with extension to optimal control problems.

Article information

Source
Workshop/Miniconference on Functional Analysis and Optimization. Simon Fitzpatrick and John Giles, eds. Proceedings of the Centre for Mathematical Analysis, v. 20. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 162-177

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416340112

Mathematical Reviews number (MathSciNet)
MR1009603

Citation

Smart, I. Invexity in nonlinear programs and control problems. Workshop/Miniconference on Functional Analysis and Optimization, 162--177, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416340112


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