Weak Fenchel and weak Fenchel-Lagrange conjugate duality for nonconvex scalar optimization problems

Author:

Küçük Yalçın,Atasever İlknur,Küçük Mahide

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization,Computer Science Applications

Reference18 articles.

1. Azimov A.Y., Gasimov R.N.: On weak conjugacy, weak subdifferentials and duality with zero gap in nonconvex optimization. Int. J. Appl. Math. 1, 171–192 (1999)

2. Fenchel W.: On conjugate convex functions. Can. J. Math. 1, 73–77 (1949)

3. Moreau J.J.: Convexity and Duality in Functional Analysis and Optimization. Academic Press, New York (1966)

4. Kuhn, H.W., Tucker, A.W.: Nonlinear programming. In: Proceedings of the 2nd Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley (1951)

5. Rockafellar R.T.: Extension of Fenchel’s duality theorem for convex functions. Duke Math. J. 33, 81–90 (1966)

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