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Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property
AxiomsWe analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough.
Yarema A. Prykarpatskyy +3 more
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Operator Monotone Functions and Convexity of Its Derivatives Norms
پژوهشهای ریاضی, 2021 Introduction Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni +2 more
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Contractions of Convex Sets [PDF]
Proceedings of the American Mathematical Society, 1977 In this paper it is shown that, in a vector space over any ordered field, a noninfinitesimal contraction of a convex set K can be written as an intersection of translates of K.
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Covering convex hulls of compact convex sets with smaller homothetic copies [PDF]
, 2022 Senlin Wu +3 more
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A *-mixing convergence theorem for convex set valued processes
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper the concept of a *-mixing process is extended to multivalued maps from a probability space into closed, bounded convex sets of a Banach space.
A. de Korvin, R. Kleyle
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A Random Active Set Method for Strictly Convex Quadratic Problem with Simple Bounds [PDF]
, 2021 Ran Gu, Bing Gao
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Some Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions [PDF]
, 2022 Gabriel Santana, Maira Valera
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Finding Sets of Points without Empty Convex 6-Gons [PDF]
, 2002 Mark Overmars
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