Limit behaviour of trajectories involving subgradients of convex functions
Jan Pelant, Svatopluk Poljak, Daniel Turzík (1987)
Commentationes Mathematicae Universitatis Carolinae
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Jan Pelant, Svatopluk Poljak, Daniel Turzík (1987)
Commentationes Mathematicae Universitatis Carolinae
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Olga Hadžić (1981)
Commentationes Mathematicae Universitatis Carolinae
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H. Buley (1978)
Commentationes Mathematicae Universitatis Carolinae
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Libor Veselý, Luděk Zajíček (2008)
Mathematica Bohemica
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Let be a normed linear space. We investigate properties of vector functions of bounded convexity. In particular, we prove that such functions coincide with the delta-convex mappings admitting a Lipschitz control function, and that convexity is equal to the variation of on . As an application, we give a simple alternative proof of an unpublished result of the first author, containing an estimate of convexity of a composed mapping.
Park, Sehie (2010)
Fixed Point Theory and Applications [electronic only]
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