Let T be a periodic time scale. We use a fixed point theorem due to Krasnoselskii to show that the nonlinear neutral dynamic equation with infinite delay x(t) = −a(t)x(t) + (Q(t, x(t− g(t))))) + ∫ t −∞ D (t, u) f (x(u)) ∆u, t ∈ T, has a periodic solution. Under a slightly more stringent inequality we show that the periodic solution is unique using the contraction mapping principle. Also, by the...

Let T be a periodic time scale. We use a fixed point theorem due to Krasnosel’skĭı to show that the nonlinear neutral dynamic equation with delay x(t) = −a(t)x(t) + (Q(t, x(t), x(t− g(t))))) +G ` t, x(t), x(t− g(t)) ́ , t ∈ T, has a periodic solution. Under a slightly more stringent inequality we show that the periodic solution is unique using the contraction mapping principle. Also, by the aid ...

There are many problems in analysis which involve constructing a function with desirable properties or understanding the properties of a function without completely precise information about its structure that cannot be easily tackled using direct “hands on” methods. A fruitful strategy for dealing with such problems is to recast it as a problem concerning the geometry of a well-chosen space of...

The three-dimensional incompressible magnetohydrodynamic equations with stochastic external forces are considered. First, the existence and uniqueness of local strong solution to the stochastic magnetohydrodynamic equations are proved when the external forces satisfy some conditions. The proof is based on the contraction mapping principle, stopping time and stochastic estimates. The strong solu...

*Correspondence: [email protected] Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan Abstract We give characterizations of the contractive conditions, by using convergent sequences. Since we use a unified method, we can compare the contractive conditions very easily. We also discuss the contractive conditions of int...

We introduce the concept of generalized \(\beta\) - \(\gamma\) Z contraction mapping with respect to a simulation function ξ and study existence fixed points for such mappings in complete -metric spaces. Further, we extend it partially ordered

~ Integer dilation and contraction are functions used in conjunction with quadtree and octree mapping systems. Dilation is the process of inserting a number of zeros before each bit in a word and contraction is the process of removing those zeros. Present methods of dilation and contraction involve lookup tables which consume considerable amounts of memory for mappings of large or high resoluti...

In this paper we study the existence of common fixed point for r-compatible mapping satisfying a generalized quasi contraction condition integral type in modular spaces Our results extend and generalize Beygmohammadi Razani [4] Moradi [25].

The aim of this work is two fold: first we extend some results concerning the computation fixed point index for sum an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to case $T+F$, where $T$ such that $(I-T)$ Lipschitz invertible $F$ contraction. Secondly, as illustration our theoretical results, study existence positive solutions classes differential equatio...

background: noninvasive techniques for the localization of the accessory pathways (aps) might help guide mapping procedures and ablation techniques. we sought to examine the diagnostic accuracy of strain imaging for the localization of the aps in wolff-parkinson-white syndrome. methods: w e prospectively studied 25 patients (mean age = 32 ± 17 years, 58.3% men) with evidence of pre-excitation o...