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Weak convergence of almost orbits of asymptotically nonexpansive commutative semigroups |
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| Authors: | Wies?awa Kaczor |
| Affiliation: | Instytut Matematyki UMCS, 20-031 Lublin, Poland |
| Abstract: | We give three equivalent conditions for weak convergence of almost orbits of an asymptotically nonexpansive commutative semigroup acting on a nonempty bounded closed convex subset of a uniformly convex Banach space whose dual has the Kadec property. |
| Keywords: | Almost orbits Asymptotically nonexpansive commutative semigroups Duality mappings Kadec-Klee property Kadec property Uniformly convex Banach spaces |
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