A common fixed point theorem for semigroups of nonlinear uniformly continuous mappings with an application to asymptotic stability of nonlinear systems
DOI10.2298/FIL1707949SzbMath1484.47138OpenAlexW2239604662MaRDI QIDQ5157363
Publication date: 13 October 2021
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/fil1707949s
fixed pointasymptotic stabilitymodulus of convexityuniformly continuous semigroupnonlinear infinite dimensional systemscharacteristic of convexityuniformly normal structure
Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniformly normal structure and uniformly Lipschitzian semigroups
- Asymptotic stability of infinite-dimensional semilinear systems: application to a nonisothermal reactor
- Uniform normal structure and solutions of Reich's open question
- On asymptotic stability of semi-linear distributed parameter dissipative systems
- Semigroups of linear operators and applications to partial differential equations
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- Normal structure coefficients for Banach spaces
- Uniformly normal structure and related coefficients
- Nonstandard methods in fixed point theory
- Stability and stabilization of infinite dimensional systems with applications
- Semi-groups of nonlinear contractions and dissipative sets
- Asymptotic behavior of nonlinear contraction semigroups
- On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
- Fixed points of uniformly Lipschitzian mappings in spaces with uniformly normal structure
- On the Normal Structure Coefficient and the Bounded Sequence Coefficient
- Fixed point theorems for Lipschitzian semigroups in Banach spaces
- The construction of an asymptotic center with a fixed-point property
- A fixed point theorem for transformations whose iterates have uniform Lipschitz constant
This page was built for publication: A common fixed point theorem for semigroups of nonlinear uniformly continuous mappings with an application to asymptotic stability of nonlinear systems