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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 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 ...
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 ...
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 ...
On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
(Springer International Publishing, 2015-07-02)
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 ...
An approach version of fuzzy metric spaces including an ad hoc fixed point theorem
(Springer, 2015-02-27)
In this paper, inspired by two very different, successful metric theories such us the real view-point of Lowen's approach spaces and the probabilistic field of Kramosil and Michalek's fuzzymetric spaces, we present a family ...
Pata contractions and coupled type fixed points
(Springer International Publishing, 2014-06-02)
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 ...