Mean value theorems and sufficient optimality conditions for nonsmooth functions

A New Approach to Lagrange Multipliers

Frank H. Clarke · Mathematics of Operations Research · 1976 · 502 citations

Natural Sciences, Mathematics, Algorithms +11

Generalized Directional Derivatives and Subgradients of Nonconvex Functions

R. T. Rockafellar · Canadian Journal of Mathematics · 1980 · 412 citations · Full text

Natural Sciences, Mathematics, Derivatives +10

Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions

A. D. Ioffe · SIAM Journal on Control and Optimization · 1979 · 145 citations

Natural Sciences, Mathematics, Differential Equations +10

Mean value theorems in nonsmooth analysis

J-B. Hiriart-Urruty · Numerical Functional Analysis and Optimization · 1980 · 50 citations

Natural Sciences, Mathematics, Optimization +10

On Sufficient Conditions in Nonsmooth Optimization

R. W. Chaney · Mathematics of Operations Research · 1982 · 23 citations

Natural Sciences, Mathematics, Cost-minimization Analysis +15