2010•BENTHAM SCIENCE PUBLISHERS eBooksRequires access

Optimality Conditions and Duality for Nonsmooth Multiobjective Continuous-Time Problems

S. Nobakhtian, Mohamad R. Pouryayevali

Abstract

In this chapter we present some classes of nonsmooth continuous-time problems. Optimality conditions under certain structure of generalized convexity are derived for these classes. Subsequently, two dual models are formulated and weak and strong duality theorems are established.

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Key concepts: Convexity, Duality (order theory), Mathematics, Dual (grammatical number), Strong duality, Mathematical optimization, Applied mathematics, Mathematical economics