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Ball intersection model for Fejér zones of convex closed sets

Dieter Schott (2001)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Strongly Fejér monotone mappings are widely used to solve convex problems by corresponding iterative methods. Here the maximal of such mappings with respect to set inclusion of the images are investigated. These mappings supply restriction zones for the successors of Fejér monotone iterative methods. The basic tool is the representation of the images by intersection of certain balls.

Borsuk-Ulam type theorems

Adam Idzik (1995)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

A generalization of the theorem of Bajmóczy and Bárány which in turn is a common generalization of Borsuk's and Radon's theorem is presented. A related conjecture is formulated.

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