Geodesic
Ball intersection model for Fejér zones of convex closed sets
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 21 (2001) no. 1, pp. 51-79

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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.
Keywords: set-valued mappings, Fejér monotone mappings, relaxations, central stretching, convex sets, ball intersections 
Schott, Dieter. Ball intersection model for Fejér zones of convex closed sets. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 21 (2001) no. 1, pp. 51-79. http://geodesic.mathdoc.fr/item/DMDICO_2001_21_1_a1/
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