2008•Journal of Wuhan Polytechnic UniversityRequires access

Optimization Conditions and Duality Theory of a Class of Generalized Invex Multi-objective Programming

YE Ti-fang

Abstract

This paper gives us the defines of η-convexity、η-pseudo-convexity andη-quasi-convexity and also gives us the interrelations between them.It also researches on the optimality condition and duality of these generalized convexity in multi-objective programming and obtains some useful results.

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Key concepts: Convexity, Duality (order theory), Class (philosophy), Mathematics, Mathematical optimization, Applied mathematics, Mathematical economics, Pure mathematics