Strongly Fej Er Monotone Mappings Part Ii : Ball Intersection Model for Maximal Mappings
نویسنده
چکیده
We consider the general class of strongly Fej er monotone map-pings and some of their basic properties. These properties are useful for a convergence theory of corresponding iterative methods which are widely used to solve convex problems. In part II the geometrical properties of these map-pings are studied. In particular the maximal of such mappings with respect to set inclusion of the images are investigated. The basic tool is the representation of the images by intersection of certain balls.
منابع مشابه
Ball Intersection Model for Fejér Zones of Convex Closed Sets
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.
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