boundedness of kkt multipliers in fractional programming problem using convexificators

Authors

ali ansari ardali department of mathematics, university of isfahan, isfahan, iran

abstract

‎in this paper, using the idea of convexificators, we study boundedness and nonemptiness of lagrange multipliers satisfying the first order necessary conditions. we consider a class of nons- mooth fractional programming problems with equality, inequality constraints and an arbitrary set constraint. within this context, define generalized mangasarian-fromovitz constraint qualification and show that the constraint qualification are necessary and suficient conditions for the karush- kuhn-tucker(kkt) multipliers set to be nonempty and bounded.

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Journal title:
iranian journal of operations research

جلد ۶، شماره ۱، صفحات ۷۹-۹۱

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