Existence of group nonexpansive retractions and ergodic theorems in topological groups

zbMath1489.47084arXiv1801.05322MaRDI QIDQ5152135

Ravi P. Agarwal, Donal O'Regan, Ebrahim Soori

Publication date: 17 September 2021

Full work available at URL: https://arxiv.org/abs/1801.05322

zbMATH Keywords

topological groupfixed pointretractionergodic theoremsgroup nonexpansive mapping

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Cites Work

• Unnamed Item
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• Ergodic retractions for amenable semigroups in Banach spaces with normal structure
• Existence of ergodic retractions for semigroups in Banach spaces
• The retractions onto the common fixed points of some families and semigroups of mappings
• Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces
• A taste of topology
• Locally Convex Spaces
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces
• Nonlinear ergodic theorems for semigroups of nonexpansive mappings and left ideals
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces

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