Optimality Conditions in Vector Optimization

Indexed in: Scopus, EBSCO

Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the ...
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Optimality Conditions and Duality for Nonsmooth Multiobjective Continuous-Time Problems

Pp. 164-182 (19)

DOI: 10.2174/978160805110611001010164

Author(s): S. Nobakhtian, M. 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.

Keywords:

Continuous-time problems, duality.