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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Duality Theory for the Multiobjective Nonlinear Programming Involving Generalized Convex Functions

Pp. 105-118 (14)

DOI: 10.2174/978160805110611001010105

Author(s): R. Osuna-Gomezy, M. B. Hernnandez-Jimenez, L. L. Salles Neto

Abstract

In this chapter we present and prove dierent forms of weak, strong and converse duality theorems for the Wolfe and Mond-Weir dual problems associated with the vector optimization problem with constraints, where the vector objective function and the vector function associated with the inequality-type constraints are invex, strictly invex or quasi-invex.