| Article ID: | iaor20116099 |
| Volume: | 50 |
| Issue: | 3 |
| Start Page Number: | 519 |
| End Page Number: | 529 |
| Publication Date: | Jul 2011 |
| Journal: | Journal of Global Optimization |
| Authors: | Ivanov I |
| Keywords: | programming: nonlinear |
A new notion of a second‐order KT invex problem (P) with inequality constraints is introduced in this paper. This class of problems strictly includes the KT invex ones. Some properties of the second‐order KT invex problems are presented. For example, (P) is second‐order KT invex if and only if each point, which satisfies the second‐order Kuhn‐Tucker necessary optimality conditions, is a global minimizer. A problem with quasiconvex data is (second‐order) KT invex if and only if it is (second‐order) KT pseudoconvex.