Optimality conditions and Toland's duality for a nonconvex minimization problem.
Laghdir, M. (2003)
Matematichki Vesnik
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Laghdir, M. (2003)
Matematichki Vesnik
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C. Zalinescu (2009)
RACSAM
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Horaţiu-Vasile Boncea, Sorin-Mihai Grad (2013)
Open Mathematics
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In this paper we present different regularity conditions that equivalently characterize various ɛ-duality gap statements (with ɛ ≥ 0) for constrained optimization problems and their Lagrange and Fenchel-Lagrange duals in separated locally convex spaces, respectively. These regularity conditions are formulated by using epigraphs and ɛ-subdifferentials. When ɛ = 0 we rediscover recent results on stable strong and total duality and zero duality gap from the literature.