Browsing by Subject "GEOMETRY AND TOPOLOGY"
Now showing items 116 of 16

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 timevarying 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 timevarying systems with internal point delays which possess a limiting equation via fixed point theory. The error ... 
An approach version of fuzzy metric spaces including an ad hoc fixed point theorem
(Springer, 20150227)In this paper, inspired by two very different, successful metric theories such us the real viewpoint of Lowen's approach spaces and the probabilistic field of Kramosil and Michalek's fuzzymetric spaces, we present a family ... 
Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications
(Springer International Publishing, 20140722)Coincidence and common fixed point theorems for a class of Suzuki hybrid contractions involving two pairs of singlevalued and multivalued maps in a metric space are obtained. In addition, the existence of a common solution ... 
Coincidence point theorems in quasimetric spaces without assuming the mixed monotone property and consequences in Gmetric spaces
(Springer International Publishing, 201409)In this paper, we present some coincidence point theorems in the setting of quasimetric spaces that can be applied to operators which not necessarily have the mixed monotone property. As a consequence, we particularize ... 
Fixed Point and Best Proximity Theorems under Two Classes of IntegralType Contractive Conditions in Uniform Metric Spaces
(Hindawi Publishing Corporation, 2010)This paper investigates the existence of fixed points and best proximity points of pcyclic selfmaps on a set of subsets of a certain uniform space under integraltype contractive conditions. The parallel properties of ... 
Geometric multiplicity margin for a submatrix
(Elsevier, 200207)Let G be a square complex matrix with less than k nonconstant invariant factors. We find a complex matrix that gives an optimal approximation to G among all possible matrices that have more than or equal to k invariant ... 
Linking Contractive SelfMappings and Cyclic MeirKeeler Contractions with Kannan SelfMappings
(Hindawi Publishing Corporation, 2010)Some mutual relations between pcyclic contractive selfmappings, pcyclic Kannan selfmappings, and MeirKeeler pcyclic contractions are stated. On the other hand, related results about the existence of the best proximity ... 
On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
(Springer International Publishing, 20150702)This paper investigates some properties of cyclic fuzzy maps in metric spaces. The convergence of distances as well as that of sequences being generated as iterates defined by a class of contractive cyclic fuzzy mapping ... 
On the Existence of Equilibrium Points, Boundedness, Oscillating Behavior and Positivity of a SVEIRS Epidemic Model under Constant and Impulsive Vaccination
(Hindawi Publishing Corporation, 2011)This paper discusses the diseasefree and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well ... 
Pata contractions and coupled type fixed points
(Springer International Publishing, 20140602)A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be ... 
Results on proximal and generalized weak proximal contractions including the case of iterationdependent range sets
(Springer International Publishing, 20140718)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 nonselfmappings of ... 
Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and TStability
(Hindawi Publishing Corporation, 2009)In recent literature concerning fixed point theory for selfmappings T : X > X in metric spaces (X,d), there are some new concepts which can be mutually related so that the inherent properties of each one might be combined ... 
Some Fixed Point Properties of SelfMaps Constructed by Switched Sets of Primary SelfMaps 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 selfmaps f from T×X to X which are constructed from a given class of socalled primary ... 
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 ... 
Stable Iteration Procedures in Metric Spaces which Generalize a PicardType Iteration
(Hindawi Publishing Corporation, 2010)This paper investigates the stability of iteration procedures defined by continuous functions acting on selfmaps in continuous metric spaces. Some of the obtained results extend the contraction principle to the use of ...