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Convex set

Known as: Set, Convexity (mathematics), Convex 
In Euclidean space, a convex set is the region such that, for every pair of points within the region, every point on the straight line segment that… Expand
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Papers overview

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Highly Cited
2009
Highly Cited
2009
An insightful, concise, and rigorous treatment of the basic theory of convex sets and functions in finite dimensions, and the… Expand
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Highly Cited
2004
Highly Cited
2004
Optimization is the science of making a best choice in the face of conflicting requirements. Any convex optimization problem has… Expand
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Highly Cited
2003
Highly Cited
2003
Convex programming involves a convex set F ⊆ Rn and a convex cost function c : F → R. The goal of convex programming is to find a… Expand
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Highly Cited
2002
Highly Cited
2002
Let C and Q be nonempty closed convex sets in R N and R M , respectively, and A an M by N real matrix. The split feasibility… Expand
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Highly Cited
2000
Highly Cited
2000
Nonmonotone projected gradient techniques are considered for the minimization of differentiable functions on closed convex sets… Expand
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Highly Cited
1996
Highly Cited
1996
The convex hull of a set of points is the smallest convex set that contains the points. This article presents a practical convex… Expand
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Highly Cited
1996
Highly Cited
1996
AbstractLet $$S \subseteq \mathbb{R}^n $$ be a convex set for which there is an oracle with the following property. Given any… Expand
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Highly Cited
1992
Highly Cited
1992
A family of sets has the (p, q)property if among any p members of the family some q have a nonempty intersection. It is shown… Expand
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Highly Cited
1965
Highly Cited
1965
A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership… Expand
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Highly Cited
1959
Highly Cited
1959
The method of successive approximation is applied to the problem of obtaining points of minimum distance on two convex sets… Expand
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