BackSearch
Now showing items 1-10 of 15
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 ...
Fixed Point and Best Proximity Theorems under Two Classes of Integral-Type Contractive Conditions in Uniform Metric Spaces
(Hindawi Publishing Corporation, 2010)
This paper investigates the existence of fixed points and best proximity points of p-cyclic self-maps on a set of subsets of a certain uniform space under integral-type contractive conditions. The parallel properties of ...
Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and T-Stability
(Hindawi Publishing Corporation, 2009)
In recent literature concerning fixed point theory for self-mappings 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 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 ...
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 ...
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 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 disease-free 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 ...
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 ...
Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications
(Springer International Publishing, 2014-07-22)
Coincidence and common fixed point theorems for a class of Suzuki hybrid contractions involving two pairs of single-valued and multivalued maps in a metric space are obtained. In addition, the existence of a common solution ...