Optimality Criteria in Nonlinear Programming Without Differentiability

M. S. Bazaraa, J. J. Goode and C. M. Shetty
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M. S. Bazaraa: Georgia Institute of Technology, Atlanta, Georgia
J. J. Goode: Georgia Institute of Technology, Atlanta, Georgia
C. M. Shetty: Georgia Institute of Technology, Atlanta, Georgia

Operations Research, 1971, vol. 19, issue 1, 77-86

Abstract: This paper discusses stationary-point optimality conditions for inequality-constrained nonlinear programming problems where the functions involved are continuous but not necessarily differentiable. We obtain generalizations of the well known Fritz John and Kuhn-Tucker necessary conditions. We also discuss the sufficient conditions for optimality where the usual convexity assumption is replaced by a weaker assumption of “supportability.”

Date: 1971
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:19:y:1971:i:1:p:77-86

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