Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems
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Publication:261806
DOI10.1186/1029-242X-2014-498zbMath1346.47081OpenAlexW2117379229WikidataQ57674922 ScholiaQ57674922MaRDI QIDQ261806
Publication date: 24 March 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2014-498
stabilityconvergencefixed pointcontractive and strictly contractive self-mappingsexpansivenon-expansiveswitched dynamic systems
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Special maps on metric spaces (54E40)
Related Items (5)
On optimal fuzzy best proximity coincidence points of proximal contractions involving cyclic mappings in non-Archimedean fuzzy metric spaces ⋮ On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points ⋮ On some boundedness and convergence properties of a class of switching maps in probabilistic metric spaces with applications to switched dynamic systems ⋮ About fixed points in \(\mathrm{CAT}(0)\) spaces under a combined structure of two self-mappings ⋮ On probabilistic alpha-fuzzy fixed points and related convergence results in probabilistic metric and Menger spaces under some Pompeiu-Hausdorff-like probabilistic contractive conditions
Cites Work
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- Robust stability and stabilization of uncertain switched discrete-time systems
- Hybrid discrete-continuous systems. II: controllability and reachability
- Approximate coincidence point of two nonlinear mappings
- Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type
- Some results on best proximity points for cyclic mappings
- Convergence analysis of an iterative algorithm for monotone operators
- Coupled fixed point theorems under weak contractions
- Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems
- Dynamic output-feedback passivity control for fuzzy systems under variable sampling
- Best proximity point results for MK-proximal contractions on ordered sets
- Fixed point and best proximity theorems under two classes of integral-type contractive conditions in uniform metric spaces
- An application of fixed point theorem to best approximation in locally convex space
- Best proximity points of cyclic mappings
- Stability and \(L_1\)-gain controller design for positive switched systems with mixed time-varying delays
- On the global asymptotic stability of switched linear time-varying systems with constant point delays
- Stability results for switched linear systems with constant discrete delays
- Total stability properties based on fixed point theory for a class of hybrid dynamic systems
- Weak contractions, common fixed points, and invariant approximations
- An algorithm for computing geometric mean of two Hermitian positive definite matrices via matrix sign
- Best proximity point results for MK-proximal contractions
- Hybrid discrete-continuous systems: I. stability and stabilizability
- A best proximity point result in modular spaces with the Fatou property
- Asymptotic hyperstability of a class of linear systems under impulsive controls subject to an integral Popovian constraint
- Best proximity points of generalized semicyclic impulsive self-mappings: applications to impulsive differential and difference equations
- Observability of hybrid discrete-continuous systems
- On best proximity point of \(\psi\)-Geraghty contractions
- A short note on the equivalence between `best proximity' points and `fixed point' results
- Some fixed point theorems in \(b\)-metric space endowed with graph
- New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
- About the positivity of a class of hybrid dynamic linear systems
- On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays
- Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions
- Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
- Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space
- Robustly stable multiestimation scheme for adaptive control and identification with model reduction issues
- On some structures of stabilizing control laws for linear and time-invariant systems with bounded point delays and unmeasurable states
- Application of numerical methods to the acceleration of the convergence of the adaptive control algorithms
- Robust stability of a class of linear time-varying systems
- A Fixed Point Method for Finding Percentage Points
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