# American Institute of Mathematical Sciences

doi: 10.3934/jimo.2020114

## Sufficient optimality conditions using convexifactors for optimistic bilevel programming problem

 Department of Mathematics, P.G.D.A.V. College, University of Delhi, Delhi-110065, India

Received  May 2019 Revised  March 2020 Published  June 2020

The main aim of this paper is to establish sufficient optimality conditions using an upper estimate of Clarke subdifferential of value function and the concept of convexifactor for optimistic bilevel programming problems with convex and non-convex lower-level problems. For this purpose, the notions of asymptotic pseudoconvexity and asymptotic quasiconvexity are defined in terms of the convexifactors.

Citation: Bhawna Kohli. Sufficient optimality conditions using convexifactors for optimistic bilevel programming problem. Journal of Industrial & Management Optimization, doi: 10.3934/jimo.2020114
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