Open AccessStrong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems
Author(s) -
Jitendra Kumar Maurya,
Shashi Kant Mishra
Publication year - 2022
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.