Abstract. By considering the epigraphs of conjugate functions, we extend the Fenchel duality, applicable to a (possibly infinite) family of proper lower semicontinuous convex functions on a Banach space. Applications are given in providing fuzzy KKT conditions for semi-infinite programming. Key words. Fenchel duality, epigraph, KKT conditions, semi-infinite programming. AMS subject classifications. Primary, 90C34; 90C25 Secondary, 52A07; 41A29; 90C4
In this paper, we present a generalization of Fenchel's conjugation and derive infimal convolution f...
In this manuscript we consider the conjugate notion focused from consumer theory as an interesting t...
Problems of minimizing a convex function or maximizing a concave function over a convex set are call...
AbstractIn this paper, we characterize a convex set function by its epigraph. The w∗-semicontinuitie...
We provide definition of such a Fenchel-Young type duality for a convexifiable function f that its s...
In two recent papers Chabnes, Gbibie, and Kortanek studied a special class of infinite linear progra...
Via perturbational approach, we give an alternative dual problem for a general infinite dimensional ...
In this article we discuss weak and strong duality properties of convex semi-infinite programming pr...
AbstractWe introduce and study a new notion of conjugacy, similar to Fenchel conjugacy, in a non-con...
preprint version The conjugate duality, which states that infx∈X φ(x, 0) = maxv∈Y ′ −φ∗(0, v), when...
summary:The authors deal with a certain specialization of their theory of duality on the case where ...
International audienceWe introduce and study a new notion of conjugacy, similar to Fenchel conjugacy...
textabstractWe consider the classical duality operators for convex objects such as the polar of a co...
Abstract. We consider the optimization problem (PA) inf x∈X {f(x) + g(Ax)} where f and g are proper ...
International audienceWe present an extended conjugate duality for a generalized semi-infinite progr...
In this paper, we present a generalization of Fenchel's conjugation and derive infimal convolution f...
In this manuscript we consider the conjugate notion focused from consumer theory as an interesting t...
Problems of minimizing a convex function or maximizing a concave function over a convex set are call...
AbstractIn this paper, we characterize a convex set function by its epigraph. The w∗-semicontinuitie...
We provide definition of such a Fenchel-Young type duality for a convexifiable function f that its s...
In two recent papers Chabnes, Gbibie, and Kortanek studied a special class of infinite linear progra...
Via perturbational approach, we give an alternative dual problem for a general infinite dimensional ...
In this article we discuss weak and strong duality properties of convex semi-infinite programming pr...
AbstractWe introduce and study a new notion of conjugacy, similar to Fenchel conjugacy, in a non-con...
preprint version The conjugate duality, which states that infx∈X φ(x, 0) = maxv∈Y ′ −φ∗(0, v), when...
summary:The authors deal with a certain specialization of their theory of duality on the case where ...
International audienceWe introduce and study a new notion of conjugacy, similar to Fenchel conjugacy...
textabstractWe consider the classical duality operators for convex objects such as the polar of a co...
Abstract. We consider the optimization problem (PA) inf x∈X {f(x) + g(Ax)} where f and g are proper ...
International audienceWe present an extended conjugate duality for a generalized semi-infinite progr...
In this paper, we present a generalization of Fenchel's conjugation and derive infimal convolution f...
In this manuscript we consider the conjugate notion focused from consumer theory as an interesting t...
Problems of minimizing a convex function or maximizing a concave function over a convex set are call...
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