Invariant means on weakly almost periodic functions and generalized fixed point properties
DOI10.1007/s41478-020-00254-wzbMath1472.43008OpenAlexW3039328838MaRDI QIDQ2026939
Ahmed H. Soliman, Md Ahmadullah, Mohammad Imdad
Publication date: 21 May 2021
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41478-020-00254-w
invariant meanfixed point propertyweakly almost periodic functionreversible semigroupweakly compact convex setgeneralized non-expansive mappingSuzuki contraction
Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) 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
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- Amenable semigroups
- Fixed point properties of semigroups of non-expansive mappings
- Linearizability of non-expansive semigroup actions on metric spaces
- Weak compactness and fixed point property for affine mappings.
- Invariant means on almost periodic functions and fixed point properties
- Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
- Fixed point set of semigroups of non-expansive mappings and amenability
- Common fixed points for commuting contraction mappings
- A new common fixed point theorem for Suzuki-Meir-Keeler contractions
- Weak compactness is equivalent to the fixed point property in $c_0$
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Fixed points of nonexpansive mappings in spaces of continuous functions
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- A Fixed Point Theorem for Mappings which do not Increase Distances
- Fixed point theorem for amenable semigroup of nonexpansive mappings
- Fixed points of reversible semigroups of nonexpansive mappings
- Non-Expansive Actions of Topological Semigroups and Fixed Points
