Some aspects of invariant means in the spaces of weakly almost periodic functions and left uniformly continuous functions

DOI10.1216/rmj.2023.53.1921OpenAlexW4390105674MaRDI QIDQ6185026

Sabeen Safdar, Maliha Rashid, Amna Kalsoom, Tehmina Sultana

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-6/SOME-ASPECTS-OF-INVARIANT-MEANS-IN-THE-SPACES-OF-WEAKLY/10.1216/rmj.2023.53.1921.full

zbMATH Keywords

invariant meannonexpansive mappingsfixed-point propertyweakly compact convex setleft-amenable

Mathematics Subject Classification ID

Fixed-point theorems (47H10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Cites Work

• Fixed point properties of semigroups of non-expansive mappings
• Fixed point properties for semigroups of nonlinear mappings and amenability
• Invariant means on almost periodic functions and fixed point properties
• Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings
• Common fixed points for commuting contraction mappings
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Non-Expansive Actions of Topological Semigroups and Fixed Points
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