scholarly journals Optimality Conditions Using Convexifactors for a Multiobjective Fractional Bilevel Programming Problem

2021 ◽  
Vol 54 ◽  
Author(s):  
Bhawna Kohli

In this paper, a multiobjective fractional bilevel programming problem is considered and optimality conditions using the concept of convexifactors are established for it. For this purpose, a suitable constraint qualification in terms of convexifactors is introduced for the problem. Further in the paper, notions of asymptotic pseudoconvexity, asymptotic quasiconvexity in terms of convexifactors are given and using them sufficient optimality conditions are derived.

1984 ◽  
Vol 30 (2) ◽  
pp. 193-218 ◽  
Author(s):  
Bevil M. Glover

For an abstract mathematical programming problem involving quasidifferentiable cone-constraints we obtain necessary (and sufficient) optimality conditions of the Kuhn-Tucker type without recourse to a constraint qualification. This extends the known results to the non-differentiable setting. To obtain these results we derive several simple conditions connecting various concepts in generalized convexity not requiring differentiability of the functions involved.


Sign in / Sign up

Export Citation Format

Share Document