In this paper we investigate the Lipschitz equivalence of dust-like self-similar sets in Rd. One of the fundamental results by Falconer and Marsh [On the Lipschitz equivalence of Cantor sets, Mathematika, 39 (1992), 223– 233] establishes conditions for Lipschitz equivalence based on the algebraic properties of the contraction ratios of the self-similar sets. In this paper we extend the study by...

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...

To examine individual or combined effects of static stretch and explosive contraction on quadriceps spinal-reflex excitability (the peak Hoffmann’s reflex normalized by the motor-response) latency times motor-response. Fourteen healthy young males randomly experienced four conditions (stretch, contraction, + control—no intervention). For condition, three sets a 30 s hold using modified Thomas t...

This article contributes to the ongoing discussion on multiple belief change. Based on earlier work, we devise a new condition, called (K−̇F), that reduces infinite contraction to sentence contraction. Two representation results reported herein characterize (K−̇F) in terms of two well known constructive models for set contraction; namely the partial meet model and the comparative possibility mode...

This study examined the influence of the elongation of attached crossbridges and residual force enhancement on joint torque enhancement by the stretch-shortening cycle (SSC). Electrically evoked submaximal tetanic plantar flexions were adopted. Concentric contractions were evoked in the following three conditions: after 2 s isometric preactivation (ISO condition), after 1 s isometric then 1 s e...

Introduction/purpose: The aim of this paper is to introduce the notion an interpolative generalised Meir-Keeler contractive condition for a pair self maps in fuzzy metric space, which enlarges, unifies and generalizes contraction only one map. Using this, we establish unique common fixed point theorem two through weak compatibility. article includes example, shows validity our results. Methods:...

The controllability problem for a class of impulsive fractional-order semilinear control system with nonlocal initial condition has been considered. Sufficient condition for the controllability is established by means of solution operator and application of Banach contraction theorem.

In this manuscript, we prove the existence and uniqueness of a common fixed point for continuous self-mapping over closed subset Hilbert space satisfying non-linear rational type contraction condition.

Abstract We improve the rational contractive condition and prove common fixed point in dislocated metric spaces. In addition, new generalized contraction has existence of a solution for system integral equations.

Here we give a closure free description of the higher rank numerical range normal operator acting on separable Hilbert space. This generalizes result Avendaño for self-adjoint operators. It has several interesting applications. We show using Durszt's example that there exists contraction T which intersection ranges all unitary dilations contains as proper subset. strengthen and generalize Wu by...