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

Han, Sang-Hyeon;Park, Sung-Ho

  • Received : 2010.12.07
  • Published : 2012.04.30

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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Acknowledgement

Supported by : Sogang University