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Stable Iteration Procedures in Metric Spaces which Generalize a Picard-Type Iteration
(Hindawi Publishing Corporation, 2010)
This paper investigates the stability of iteration procedures defined by continuous functions acting on self-maps in continuous metric spaces. Some of the obtained results extend the contraction principle to the use of ...
About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory
(Hindawi Publishing Corporation, 2011)
This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal ...
About Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory
(Hindawi Publishing Corporation, 2008)
This paper investigates the global asymptotic stability independent of the sizes of the delays of linear time-varying systems with internal point delays which possess a limiting equation via fixed point theory. The error ...
Stability and Convergence Results Based on Fixed Point Theory for a Generalized Viscosity Iterative Scheme
(Hindawi Publishing Corporation, 2009)
A generalization of Halpern's iteration is investigated on a compact convex subset of a smooth Banach space. The modified iteration process consists of a combination of a viscosity term, an external sequence, and a continuous ...
On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays
(Hindawi Publishing Corporation, 2009)
This paper investigates the causality properties of a class of linear time-delay systems under constant point delays which possess a finite set of distinct linear time-invariant parameterizations (or configurations) which, ...
Some Fixed Point Properties of Self-Maps Constructed by Switched Sets of Primary Self-Maps on Normed Linear Spaces
(Hindawi Publishing Corporation, 2010)
This paper is devoted to the investigation of the existence of fixed points in a normed linear space X endowed with a norm ‖⋅‖ for self-maps f from T×X to X which are constructed from a given class of so-called primary ...
About K-Positivity Properties of Time-Invariant Linear Systems Subject to Point Delays
(Hindawi Publishing Corporation, 2007)
This paper discusses nonnegativity and positivity concepts and related properties for the state and output trajectory solutions of dynamic linear time-invariant systems described by functional differential equations subject ...
Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings
(Hindawi Publishing Corporation, 2010)
Some mutual relations between p-cyclic contractive self-mappings, p-cyclic Kannan self-mappings, and Meir-Keeler p-cyclic contractions are stated. On the other hand, related results about the existence of the best proximity ...
Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets
(Springer International Publishing, 2014-07-18)
This paper presents some further results on proximal and asymptotic proximal contractions and on a class of generalized weak proximal contractions in metric spaces. The generalizations are stated for non-self-mappings of ...
Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spaces
(Springer International Publishing, 2014-09)
In this paper, we present some coincidence point theorems in the setting of quasi-metric spaces that can be applied to operators which not necessarily have the mixed monotone property. As a consequence, we particularize ...