Optimality Conditions for Bilevel Programming Problem in Asplund Spaces
Suvendu Pattanaik
TL;DR
This paper establishes necessary optimality conditions for optimistic bilevel programming problems within Asplund spaces, extending to finite-dimensional spaces under differentiability assumptions.
Contribution
It provides new necessary optimality conditions for bilevel problems in Asplund spaces, including finite-dimensional cases with differentiability.
Findings
Necessary optimality conditions in Asplund spaces
Necessary conditions in finite-dimensional spaces with differentiability
Extension of bilevel programming theory to broader spaces
Abstract
Here, necessary optimal condition for Optimistic Bilevel programming problem is obtained in Asplund spaces. Also we have got necessary optimal conditions in finite dimensional spaces, by assuming differentiability on the given functions.
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Taxonomy
TopicsOptimization and Variational Analysis · Optimization and Mathematical Programming · Fixed Point Theorems Analysis