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Applicable Analysis
An International Journal
Volume 16, 1983 - Issue 4
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Original Articles

Surrogate conjugate functionals and surrogate convexity

Ivan Singer Department of Mathematics, Bd.Pacii 220, Bucharest, 79622, Romania
Pages 291-327 | Published online: 02 May 2007

Citations (15)

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Read on this site (3)

J.E. Martínez-Legaz & I. Singer. (1991) V -dualities and ⊥-dualities. Optimization 22:4, pages 483-511.
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M. Volle. (1987) Conjugaison par tranches et dualitë de toland. Optimization 18:5, pages 633-642.
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Juan-Enrique Martinez-Legaz Barcelona. (1987) Level sets and the minimal time function of linear control processes. Numerical Functional Analysis and Optimization 9:1-2, pages 105-129.
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Articles from other publishers (12)

E. S. Polovinkin. (2000) On strongly convex sets and strongly convex functions. Journal of Mathematical Sciences 100:6, pages 2633-2681.
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M V Balashov & E S Polovinkin. (2000) $ M$-strongly convex subsets and their generating sets. Sbornik: Mathematics 191:1, pages 25-60.
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Максим Викторович Балашов, Maxim Viktorovich Balashov, Евгений Сергеевич Половинкин & Evgenii Sergeevich Polovinkin. (2000) $M$-сильно выпуклые подмножества и их порождающие множества$M$-strongly convex subsets and their generating sets. Математический сборник Matematicheskii Sbornik 191:1, pages 27-64.
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Juan-Enrique Martinez-Legaz & Ivan Singer. (1995) Subdifferentials with respect to dualities. ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research 42:1, pages 109-125.
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Phan Thien Thach. (1994) A Nonconvex Duality with Zero Gap and Applications. SIAM Journal on Optimization 4:1, pages 44-64.
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J. P. Penot & M. Volle. 1990. Generalized Convexity and Fractional Programming with Economic Applications. Generalized Convexity and Fractional Programming with Economic Applications 198 218 .
I. Singer. (1989) A general theory of dual optimization problems. II: On the perturbational dual problem corresponding to an unperturbational dual problem. ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research 33:4, pages 241-258.
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I. Singer. (1988) Abstract subdifferentials and some characterizations of optimal solutions. Journal of Optimization Theory and Applications 57:2, pages 361-368.
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J. E. Martinez-Legaz. 1987. Trends in Mathematical Optimization. Trends in Mathematical Optimization 197 232 .
Ivan Singer. (1986) A general theory of dual optimization problems. Journal of Mathematical Analysis and Applications 116:1, pages 77-130.
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Ivan Singer. (1986) Some relations between dualities, polarities, coupling functionals, and conjugations. Journal of Mathematical Analysis and Applications 115:1, pages 1-22.
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Ivan Singer. (1984) A general theory of surrogate dual and perturbational extended surrogate dual optimization problems. Journal of Mathematical Analysis and Applications 104:2, pages 351-389.
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