Optimality Criteria in Nonlinear Programming Without Differentiability
M. S. Bazaraa, Jamie J. Goode, C. M. Shetty · Operations Research · 1971
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.”