Error bounds for convex constrained systems in Banach spaces
Wen Song (2007)
Control and Cybernetics
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Wen Song (2007)
Control and Cybernetics
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Dominique Azé, Jean-Noël Corvellec (2004)
ESAIM: Control, Optimisation and Calculus of Variations
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Refining the variational method introduced in Azé et al. [Nonlinear Anal. 49 (2002) 643-670], we give characterizations of the existence of so-called global and local error bounds, for lower semicontinuous functions defined on complete metric spaces. We thus provide a systematic and synthetic approach to the subject, emphasizing the special case of convex functions defined on arbitrary Banach spaces (refining the abstract part of Azé and Corvellec [SIAM J. Optim. 12 (2002) 913-927],...
Stanisław Kryński (1993)
Studia Mathematica
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Properties of metrically convex functions in normed spaces (of any dimension) are considered. The main result, Theorem 4.2, gives necessary and sufficient conditions for a function to be metrically convex, expressed in terms of the classical convexity theory.
Mitrović, Zoran D. (2006)
Fixed Point Theory and Applications [electronic only]
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Durea, M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Butnariu, Dan, Resmerita, Elena (2006)
Abstract and Applied Analysis
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