Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems | Zendy

Jitendra Kumar Maurya | Zendy; Shashi Kant Mishra | Zendy

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Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems

Author(s) -

Jitendra Kumar Maurya,

Shashi Kant Mishra

Publication year - 2021

Publication title -

yugoslav journal of operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.221

H-Index - 21

eISSN - 1820-743X

pISSN - 0354-0243

DOI - 10.2298/yjor210315024m

Subject(s) - karush–kuhn–tucker conditions , equivalence (formal languages) , constraint (computer aided design) , mathematics , mathematical optimization , optimization problem , inequality , multi objective optimization , discrete mathematics , mathematical analysis , geometry

In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and introduce a weak constraint qualification which assures the equivalence between SCAKKT and the strong Karush-Kuhn-Tucker (J Optim Theory Appl 80 (3): 483{500, 1994) conditions for multiobjective optimization problems.

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