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arXiv · 2010.08647

The fixed point property for $(c)$-mappings and unbounded sets

Sami Atailia·Abdelkader Dehici·Najeh Redjel
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Abstract

We prove that a closed convex subset $C$ of a real Hilbert space $X$ has the fixed point property for $(c)$-mappings if and only if $C$ is bounded. Some convergence results about the iterations are obtained.

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Sami Atailia, Abdelkader Dehici, Najeh Redjel. 2020-10-16. The fixed point property for $(c)$-mappings and unbounded sets. https://arxiv.org/abs/2010.08647

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