论文信息 - Generalized concavity and optimality conditions in vector and scalar optimization

Generalized concavity and optimality conditions in vector and scalar optimization

The aim of this paper is to carry on the study of optimality in the vector and in the scalar case jointly, by studying the disjunction of suitable sets in the image space. A cone is introduced which allows us to find necessary and/or sufficient optimality conditions in the image space and in the decision space both.

Laura Martein | Alberto Cambini | A. Cambini | L. Martein

[1] Olvi L. Mangasarian,et al. Nonlinear Programming , 1969 .

[2] F. Giannessi. Theorems of the alternative and optimality conditions , 1984 .

[3] Laura Martein,et al. Some Optimality Conditions in Vector Optimization , 1989 .

[4] Hirotaka Nakayama,et al. Theory of Multiobjective Optimization , 1985 .

[5] Douglass J. Wilde,et al. Foundations of Optimization. , 1967 .

[6] L. Martein. Some results on regularity in vector optimization , 1989 .

[7] L. Martein. Stationary Points and Necessary Conditions in Vector Extremum Problems , 1989 .