In this work we study the problem of positiveness topological entropy for flows using pointwise dynamics. We show that existence a non-periodic nonwandering point an expansive and non-singular flow with shadowing is sufficient condition to obtain positive entropy. Moreover, can deal singularities, showing non-wandering, non-critical, strongly-shadowable, uniform-expansive implies symbolic subsh...

A generalization of Halpern’s iteration is investigated on a compact convex subset of a smooth Banach space. The modified iteration process consists of a combination of a viscosity term, an external sequence, and a continuous nondecreasing function of a distance of points of an external sequence, which is not necessarily related to the solution of Halpern’s iteration, a contractive mapping, and...

for all x, y ∈ C and each n ≥ 1. The class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [1] as an important generalization of nonexpansive mappings. It was proved in [1] that if C is a nonempty bounded closed convex subset of a real uniformly convex Banach space and T is an asymptotically nonexpansive self mapping on C, then F (T ) is nonempty closed convex subset o...

In this paper, we introduce a class of totally quasi-φ-asymptotically nonexpansive nonself multi-valued mapping to modify the Halpern-Mann-type iteration algorithm for a totally quasi-φ-asymptotically nonexpansive nonself multi-valued mapping, which has the strong convergence under a limit condition only in the framework of Banach spaces. Our results are applied to study the approximation probl...

In this survey, we review some old and new results initiated with the study of expansive mappings. From a variational perspective, convergence analysis almost-expansive curves sequences governed by an evolution equation monotone or non-monotone type. Finally, propose two well-defined algorithms to remedy shortcomings concerning ill-posedness expansive-type systems.

Objectives: In this paper, we have to establish a generalized common fixed point theorem in cone rectangular metric spaces. Methods: use the Banach contraction principle technique theorem. Findings: The paper presents unique for two weakly compatible self-maps satisfying expansive type mapping space without assuming normality condition of cone. Our result extends and supplements some well-known...

each country faces a continuing challenge to collect enough blood to meet the national needs. according to who, there should be at least 20 blood donations per 1,000 population for developing countries, in kazakhstan this indicator was only 16.8 in 2011. thus, we conducted an epidemiological assessment and drew a map of the regional distribution of blood and plasma donations in kazakhstan durin...

This paper describes a paradigm for collaborative controller design, implementation and artistic expression. The KiOm is an inexpensive, robust, accelerometer-based wearable instrument used to expose many artists to the ideas and theory of computer music with the expansive capabilities of human computer interfaces. Novel methods for collaborative controller mapping development using ChucK are d...

The bounded-real and positive-real lemmas solve two important linear-quadratic optimal control problems related to the concepts of non-expansive and passive systems, respectively. The lemmas assume controllability, yet a non-expansive or passive system can be uncontrollable. In this paper, we solve these optimal control problems without assuming controllability. We obtain necessary and sufficie...

For the model of probabilistic labelled transition systems that allow for the co-existence of nondeterminism and probabilities, we present two notions of bisimulation metrics: one is state-based and the other is distribution-based. We provide a sound and complete modal characterisation for each of them, using real-valued modal logics based on the Hennessy-Milner logic. The logic for characteris...