Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2014 / Cilt: 4 - Sayı: 1 #89071

APPROXIMATE OPTIMALITY CONDITIONS

APPROXIMATE OPTIMALITY CONDITIONS

Sayfa
86–91
DOI
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Abstract

We propose in this paper a systematic study which is a variational approach of approximate optimality conditions in terms of Ekeland’s variational principle and some of its applications. Using a generalised differentiation sub-differentiability theory for non-smooth functions, new properties are then identified and approximate optimality conditions are established in the cases: convex, locally Lipschitz and finally lower semi-continuous.