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RESEARCH PRODUCT
On a class of compactly epi-Lipschitzian sets
Abderrahim Jouranisubject
Pure mathematicsClass (set theory)Mathematical optimizationcompactly epi-lipschitzian setsnonsmooth analysisApplied MathematicsPhysics::Medical PhysicsStability (learning theory)Mathematics::Optimization and ControlSubderivativeSet (abstract data type)locally compact cones49J52AnalysisMathematicsNumerical stabilitydescription
The paper is devoted to the study of the so-called compactly epi-Lipschitzian sets. These sets are needed for many aspects of generalized differentiation, particulary for necessary optimality conditions, stability of mathematical programming problems and calculus rules for subdifferentials and normal cones. We present general conditions under which sets defined by general constraints are compactly epi-Lipschitzian. This allows us to show how the compact epi-Lipschitzness properties behave under set intersections.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-08-01 |