In this paper, we show the existence of a coupled fixed point theorem of nonlinear contraction mappings in complete metric spaces without the mixed monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled fixed point by using the mixed monotone property. We also study the necessary condition for the uniqueness of a coupled fix...

Keywords: System of nonlinear integral equations Step method Picard operators Generalized fibre contraction principle a b s t r a c t Using the step method, we study the following system of integral equations from biomathematics xðtÞ ¼ gðt; xðtÞ; xðt À sÞÞ þ Z t tÀs f ðs; xðsÞÞds; t 2 ½a; bŠ; s > 0 and we prove the existence, uniqueness and the convergence of the successive approximation sequen...

In this paper, we study the class of cyclic contractions in setting S-metric spaces involving C-class function and establish some fixed point theorems complete spaces. We support our results with examples. Our extend generalize several from existing literature (see, e.g., [3, 8, 9, 14, 15, 20] many others) to case more general ambient space contraction condition.

metabolic alkalosis is characterized by high hco3- as it is seen in chronic respiratory acidosis, but ph differentiates the two disorders. there is no characteristic symptom or sign. orthostatic hypotension may be encountered. weakness and hyporeflexia occur if serum k+ is markerdly low. tetany and neuromuscular irritability occur rarely. we report the results of retrospective data analysis of ...

* Correspondence: [email protected]; [email protected] Full list of author information is available at the end of the article Abstract Recently, Gordji et al. [Math. Comput. Model. 54, 1897-1906 (2011)] prove the coupled coincidence point theorems for nonlinear contraction mappings satisfying commutative condition in intuitionistic fuzzy normed spaces. The aim of this article is to extend and ...

We introduced a general class of contraction maps on a metric space, called Acontractions (that includes the contractions originally studied by R. Kannan, M. S. Khan at el, R. Bianchini, and S. Reich), and extended some common fixed point theorems on M. S. Khan’s contractions to general self maps of a metric space satisfying certain A-contraction type condition; in this paper, we prove exact an...

In the recent preprint [1] S. Parrott proves the equality between the Arveson's curvature and the Fredholm index of a " pure " contraction with finite defect numbers. In the present note one derives a similar formula in the " non-pure " case. The notions of d-contraction T = (T 1 , T 2 ,. .. , T d) and its curvature was introduced by W. Arveson in a series of papers (see [2], [3], and [4]). In ...

This paper presents the analysis of the electromyographic signals from rat stomaches to identify and classify contractions. The results were validated with both visual identification and an ultrasonic system to guarantee the reference. Some parameters were defined and associated to the energy of the signal in frequency domain and grouped in a P vector. The parameters were statistically analyzed...

The aims of our study were to investigate into the effect of lithium on smooth muscle contraction and phosphorylation of myosin light chain (MLC20) by MLCK and to find out the clue of its mechanism. Isolated rabbit duodenum smooth muscle strips were used to study the effects of lithium on their contractile activity under the condition of Krebs' solution by means of HW-400S constant temperature ...

We provide an amendment to the first theorem of “Control Contraction Metrics: Convex and Intrinsic Criteria for Nonlinear Feedback Design” by Manchester & Slotine in the form of an additional technical condition required to show integrability of differential control signals. This technical condition is shown to be satisfied under the original assumptions if the input matrix is constant rank, an...