Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427205 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 19 Pages |
Abstract
It is well known that some properties of convex optimization problems, especially sufficient conditions for optimality, and duality conditions, are preserved when convexity is weakened to pre-invexity. However, there are several distinct pre-invex concepts-B-vex, B-pre-invex, pre-univex, (p,r)-pre-invex-and these are not equivalent. The pre-invexity concepts mentioned above have also some properties which are characteristic and invariant for functions belonging to these classes of functions.
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Authors
Tadeusz Antczak,