The upper and lower second order directional derivatives of a sup-type function

An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems

Hidefumi Kawasaki · Mathematical Programming · 1988 · 139 citations

Natural Sciences, Mathematics, Optimization +10

Directional derivatives in nonsmooth optimization

Aharon Ben‐Tal, Jochem Zowe · Journal of Optimization Theory and Applications · 1985 · 94 citations

Natural Sciences, Mathematics, Computational Mechanics +11

Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite Programs

Alexander Shapiro · Mathematics of Operations Research · 1985 · 57 citations

Natural Sciences, Mathematics, Derivatives +13

Second order necessary optimality conditions for minimizing a sup-type function

Hidefumi Kawasaki · Mathematical Programming · 1990 · 46 citations

Natural Sciences, Mathematics, Optimization +9

Limiting behaviour of the approximate first order and second order directional derivatives for a convex function

Jean‐Baptiste Hiriart‐Urruty · Nonlinear Analysis · 1982 · 32 citations

Natural Sciences, Mechanical Engineering, Derivatives +10