DEMICLOSED PRINCIPLE AND CONVERGENCE OF A HYBRID ALGORITHM FOR MULTIVALUED -NONEXPANSIVE MAPPINGS

Hossein Dehghan, Gava Zang · 2013

A demiclosed principle is proved for multivalued -nonexpansive mappings. Moreover, strong convergence of an iterative algorithm is obtained for such mappings in a Banach space by using metric projections. The results of this paper improve and extend the corresponding results for single valued nonexpansive mappings which was studied by many authors.

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