On fixed points of fundamentally nonexpansive mappings in Banach spaces

author

  • Mohammad Moosaei Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
Abstract:

We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.

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Journal title

volume 7  issue 1

pages  219- 224

publication date 2016-03-05

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