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http://dx.doi.org/10.4134/CKMS.2012.27.2.279

A CHARACTERIZATION OF THE GENERALIZED PROJECTION WITH THE GENERALIZED DUALITY MAPPING AND ITS APPLICATIONS  

Han, Sang-Hyeon (Department of Mathematics Sogang University)
Park, Sung-Ho (Department of Mathematics Sogang University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.2, 2012 , pp. 279-296 More about this Journal
Abstract
In this paper, we define a generalized duality mapping, which is a generalization of the normalized duality mapping and using this, we extend the notion of a generalized projection and study their properties. Also we construct an approximating fixed point sequence using the generalized projection with the generalized duality mapping and prove its strong convergence.
Keywords
Banach spaces; normalized and generalized duality mappings; generalized projection; approximating fixed point sequence;
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