On order and metric convexities in
M. Changat, A. Vijayakumar (1992)
Compositio Mathematica
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On order and metric convexities in
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Inese Bula (2005)
Banach Center Publications
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The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
Uniformly convex and uniformly smooth convex functions
Dominique Azé, Jean-Paul Penot (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Some results on stability and on characterization of K-convexity of set-valued functions
Tiziana Cardinali, Francesca Papalini (1993)
Annales Polonici Mathematici
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We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.
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R. Duda (1970)
Fundamenta Mathematicae
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Moreau's decomposition theorem revisited
J. B. Hiriart-Urruty, Ph. Plazanet (1989)
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-convexity and best approximation.
Chatterjee, Dipak (1980)
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Convex Sets and Convex Combinations on Complex Linear Spaces
Hidenori Matsuzaki, Noboru Endou, Yasunari Shidama (2008)
Formalized Mathematics
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In this article, convex sets, convex combinations and convex hulls on complex linear spaces are introduced.MML identifier: CONVEX4, version: 7.8.10 4.99.1005
Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces.
Butnariu, Dan, Resmerita, Elena (2006)
Abstract and Applied Analysis
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Dentable functions and radially uniform quasi-convexity.
Looney, Carl G. (1978)
International Journal of Mathematics and Mathematical Sciences
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