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 ...

The use of microprocessor based multifunction relays is on the increase due to the advantages they offer such as communications, measurements, simplified wiring, and reduced space requirements. Since many protection functions are included in one device however, there has been some concern about providing adequate protection should a multifunction relay fail. A reliable protection scheme is very...

INTRODUCTION Many clinically available, upper-extremity prosthetic limbs provide myoelectric control of a single device, such as a hand, elbow, or wrist. Most commonly, these systems yield control information from myoelectric signal (MES) amplitude [1] or rate of change of MES [2]. Such systems have been beneficial; however, prosthetic users would no doubt find enhanced functionality and usabil...

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...

In this paper we introduce the concepts of upper and lower weakly B*continuous multifunction, and obtain some characterizations and several properties concerning upper and lower B*-continuous as well as upper and lower weakly B*continuous multifunction. The relationship between these multifunctions and their graphs are investigated.

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...