Meir and Keeler in 1 considered an extension of the classical Banach contraction theorem on a complete metric space. Kirk et al. in 2 extended the Banach contraction theorem for a class of mappings satisfying cyclical contractive conditions. Eldred and Veeramani in 3 introduced the following definition. Let A and B be nonempty subsets of a metric space X. A map T : A ∪ B → A ∪ B, is a cyclic co...

It is well known that second order lowpass interpolative sigma delta modulators (SDMs) may suffer from instability and limit cycle problems when the magnitudes of the input signals are at large and at intermediate levels, respectively. In order to solve these problems, we propose to replace the second order lowpass interpolative SDMs to a specific class of second order bandpass interpolative SD...

In this paper we generalize Hardy–Rogers maps in the context of coupled fixed points. We comment on symmetry some coefficients involved condition, and thus, deduce a simpler formula. generalize, with help obtained main theorem, known results about existence uniqueness market equilibrium duopoly markets. As consequence, ascertain that production should be equal for both participants provided the...

This paper introduces the interpolative butterfly factorization for nearly optimal implementation of several transforms in harmonic analysis, when their explicit formulas satisfy certain analytic properties and the matrix representations of these transforms satisfy a complementary low-rank property. A preliminary interpolative butterfly factorization is constructed based on interpolative low-ra...

In this paper, we shall establish some fixed point theorems for mappings with the contractive  condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work...

The goal of this project is to investigate constant properties (called the Liouville-type Problem) for a p-stable map as a local or global minimum of a p-energy functional where the domain is a Euclidean space and the target space is a closed half-ellipsoid. The First and Second Variation Formulas for a p-energy functional has been applied in the Calculus Variation Method as computation techniq...

Abstract We characterize the noncommutative Aleksandrov–Clark measures and minimal realization formulas of contractive and, in particular, isometric rational multipliers Fock space. Here, full space over $\mathbb {C} ^d$ is defined as Hilbert square-summable power series several noncommuting (NC) formal variables, we interpret this multivariable analogue Hardy Taylor complex unit disk. further ...

Typically, big bang bifurcation occurs for one (or higher)-dimensional piecewise-defined systems whenever two border collision bifurcation curves collide transversely in the parameter space. At that point, two (feasible) fixed points collide with the boundary in state space and become virtual. Depending on the properties of the map at the colliding fixed points, there exist different scenarios ...