## Taiwanese Journal of Mathematics

### KINDS OF VECTOR INVEX

B. D. Craven

#### Abstract

Necessary Lagrangian conditions for a constrained minimum become sufficient under generalized convex assumptions, in particular invex, and duality results follow. Many classes of vector functions with properties related to invex have been studied, but It has not been clear how far these classes are distinct. Various inclusions between these classes are now established Some modifications of invex can be regarded as perturbations of invex. There is a stability criterion for when the invex property is preserved under small perturbations. Some results extend to nondifferentiable (Lipschitz) functions.

#### Article information

Source
Taiwanese J. Math., Volume 14, Number 5 (2010), 1925-1933.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406024

Digital Object Identifier
doi:10.11650/twjm/1500406024

Mathematical Reviews number (MathSciNet)
MR2724141

Zentralblatt MATH identifier
1244.90218

#### Citation

Craven, B. D. KINDS OF VECTOR INVEX. Taiwanese J. Math. 14 (2010), no. 5, 1925--1933. doi:10.11650/twjm/1500406024. https://projecteuclid.org/euclid.twjm/1500406024

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