For any non-trivial convex and bounded subset C of a Banach space, we show that outside σ-porous the space non-expansive mappings → C, all have maximal Lipschitz constant one witnessed locally at typical points C. This extends result Bargetz author from separable spaces to proof given is completely independent. We further establish fine relationship between classes exceptional sets involved in ...

Soil is naturally occurring material that is used for the construction of structures except the surface layers of pavements. This naturally occurring soil may not suit the design requirements of ongoing project. So, soil is to be prepared to meet the requirements called soil stabilization. Stabilization is the process of blending of different soils or mixing of additives to a soil to improve ch...

we say that a finite group $g$ is conjugacy expansive if for anynormal subset $s$ and any conjugacy class $c$ of $g$ the normalset $sc$ consists of at least as many conjugacy classes of $g$ as$s$ does. halasi, mar'oti, sidki, bezerra have shown that a groupis conjugacy expansive if and only if it is a direct product ofconjugacy expansive simple or abelian groups.by considering a character analo...

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...

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...