Solvability theorems for classes of difference convex functions

DOI10.1016/0362-546X(94)90104-XzbMath0812.49018OpenAlexW2171916263MaRDI QIDQ4306584

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Publication date: 17 October 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90104-x

zbMATH Keywords

subdifferentialsalternative theoremssolvability theoremsdifference sublinear functionsdifference convex functionSlater-type regularity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

D.C. representability of closed sets in reflexive Banach spaces and applications to optimization problems ⋮ Characterization of d.c. Functions in terms of quasidifferentials ⋮ Some new Farkas-type results for inequality systems with DC functions

Cites Work

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• On Shapiro's results in quasidifferential calculus
• Conjugate convex operators
• A Farkas lemma for difference sublinear systems and quasidifferentiable programming
• Nonsmoothness and quasidifferentiability
• ε-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems
• Sous-Différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné.
• Quasi-differentiability: a formal approach. first and second gradient classes
• Minimax Theorems

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