Duality in vector optimization. III. Vector partially quasiconcave programming and vector fractional programming
Tran Quoc Chien (1984)
Kybernetika
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Displaying similar documents to “Duality in vector optimization. II. Vector quasiconcave programming”
Duality in vector optimization. III. Vector partially quasiconcave programming and vector fractional programming
Qualitative analysis of basic notions in parametric convex programming. II. Parameters in the objective function
Mohamed Sayed Ali Osman (1977)
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Convexity with given infinite weight sequences.
Zoltán Daróczy, Zsolt Páles (1987)
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Symmetric and self duality for a class of non-linear programming problems in complex space
Jain, O.P., Saxena, P.C. (1978)
Portugaliae mathematica
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Trace inequalities for spaces in spectral duality
O. Tikhonov (1993)
Studia Mathematica
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Let (A,e) and (V,K) be an order-unit space and a base-norm space in spectral duality, as in noncommutative spectral theory of Alfsen and Shultz. Let t be a norm lower semicontinuous trace on A, and let φ be a nonnegative convex function on ℝ. It is shown that the mapping a → t(φ(a)) is convex on A. Moreover, the mapping is shown to be nondecreasing if so is φ. Some other similar statements concerning traces and real-valued functions are also obtained.
A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets
Ivanov, M., Zlateva, N. (2000)
Serdica Mathematical Journal
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We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type inequality holds if and only if there is certain geometrical relation between the point and the set.