Regularity conditions and Farkas-type results for systems with fractional functions
Keyword(s):
This paper deals with some new versions of Farkas-type results for a system involving cone convex constraint, a geometrical constraint as well as a fractional function. We first introduce some new notions of regularity conditions in terms of the epigraphs of the conjugate functions. By using these regularity conditions, we obtain some new Farkas-type results for this system using an approach based on the theory of conjugate duality for convex or DC optimization problems. Moreover, we also show that some recently obtained results in the literature can be rediscovered as special cases of our main results.
Stable strong and total parametrized dualities for DC optimization problems in locally convex spaces
2013 ◽
Vol 9
(3)
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pp. 669-685
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Keyword(s):
Keyword(s):
1986 ◽
Vol 23
(02)
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pp. 409-417
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1998 ◽
Vol 11
(1)
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pp. 79-93
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