Classical results in the theory of monotone semiflows give sufficient conditions for the generic solution to converge toward an equilibrium or towards the set of equilibria (quasiconvergence). In this paper, we provide new formulations of these results in terms of the measure-theoretic notion of prevalence, developed in [1, 8]. For monotone reaction-diffusion systems with Neumann boundary condi...

We develop a quenched thermodynamic formalism for random dynamical systems generated by countably branched, piecewise-monotone mappings of the interval that satisfy covering condition. Given contracting potential $\varphi$ (in sense Liverani-Saussol-Vaienti), we prove there exists unique conformal measure $\nu_\varphi$ and equilibrium state $\mu_\varphi$. Further, quasi-compactness associated t...

For $C^{1}$-smooth strongly monotone discrete-time dynamical systems, it is shown that “convergence to linearly stable cycles” a prevalent asymptotic behavior in the measure-theoretic sense. The results are then applied several classes of time-periodic parabolic equations and obtain prevalence convergence periodic solutions.

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...

In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods  by combining the resolvent method with Halpern's iterative method and viscosity approximation method for  finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations  in ...

This paper proposes a high-speed architecture to realize two-variable numeric functions. It represents the given function as an edgevalued multiple-valued decision diagram (EVMDD), and shows a systematic design method based on the EVMDD. To achieve a design, we characterize a numeric function f by the values of l and p for which f is an l-restricted Mp-monotone increasing function. Here, l is a...

Classi cation is one of major tasks in case-based reasoning(CBR) and many studies have been done for analyzing properties of case-based classi cation [1, 14, 10, 15, 12, 9, 13, 7]. However, these studies only consider numerical similarity measures whereas there are other kinds of similarity measure for di erent tasks. Among these measures, HYPO system [2, 3] in a legal domain uses a similarity ...

In the past few years, considerable attention has been given to extropy measure. The and weighted of ranked set sampling were studied by several authors. general some results related it are introduced in this paper. We provide sampling. also characterization results, stochastic comparison monotone properties extropy.

We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone partially ordered vector space $E$. The monotone convergence theorem, Fatou's lemma, and dominated theorem are established; analogues classical ${\mathcal L}^1$- ${\mathrm L}^1$-spaces investigated. results extend earlier work by Wright specialise those for Lebesgue when ...

For single–period complete financial asset markets with representative investors, we introduce a bull market measure for uncertain state occurrence and its associated ordering between representative investors in markets based on their marginal rate of substitution between equilibrium consumption allocations among possible states. These concepts combine and generalize the likelihood–ratio–domina...