ABDELKADER DEHICI (2017) Common Fixed Point Theorems For Semigroup Actions Of Kannan type On Strictly Convex Banach spaces. Preprint , (), 1-6
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Abstract
Let C be a weakly compact convex subset of a strictly convex Banach space
X. Let S be a semitopological semigroup which acts on C so that the action is
weakly separately continuous of weakly continuous Kannan mappings with some additional conditions for which the functions s ∈ S −→ fx(s) = f(sx) and s ∈
S −→ fx(s) = f(xs) belongs to Z a closed linear subspace of l∞(S) containing
constants and invariant under translations for every f ∈ C(S). We prove that if Z
has a left invariant mean then C has a common fixed point of S.
X. Let S be a semitopological semigroup which acts on C so that the action is
weakly separately continuous of weakly continuous Kannan mappings with some additional conditions for which the functions s ∈ S −→ fx(s) = f(sx) and s ∈
S −→ fx(s) = f(xs) belongs to Z a closed linear subspace of l∞(S) containing
constants and invariant under translations for every f ∈ C(S). We prove that if Z
has a left invariant mean then C has a common fixed point of S.
Information
| Item Type | Journal |
|---|---|
| Divisions |
» Laboratory of Computer Science and Mathematics |
| ePrint ID | 915 |
| Date Deposited | 2017-10-01 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/915 |
BibTex
@article{uniusa915,
title={Common Fixed Point Theorems For Semigroup Actions Of Kannan type On Strictly Convex Banach spaces},
author={ABDELKADER DEHICI},
journal={Preprint}
year={2017},
volume={},
number={},
pages={1-6},
publisher={}
}
title={Common Fixed Point Theorems For Semigroup Actions Of Kannan type On Strictly Convex Banach spaces},
author={ABDELKADER DEHICI},
journal={Preprint}
year={2017},
volume={},
number={},
pages={1-6},
publisher={}
}