We consider multifunctions acting between two linear normed spaces and having closed convex images. Approximations are considered which serve as an expansion of it. Generalized delta theorems for random sets in in nite dimensions are shown using those approximations. Furthermore, univalued, resp. Castaing representations of the multifunction are constructed with (higher order) di erentiability ...

Gwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. The aim of this paper is to solve this problem for a multifunction with open inverse values.

We introduce Suzuki type P-contractive mappings by taking into account the concepts of contractive, P-contractive, and contractive mappings. Then, for such on compact metric spaces, we present a fixed point theorem that is more general than well-known Edelstein theorem.

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...

Title of dissertation: DISTRIBUTED OPTIMIZATION OF RESOURCE ALLOCATION FOR SEARCH AND TRACK ASSIGNMENT WITH MULTIFUNCTION RADARS Tracie A. Severson, Doctor of Philosophy, 2013 Dissertation directed by: Dr. Derek A. Paley Department of Aerospace Engineering and the Institute for Systems Research The long-term goal of this research is to contribute to the design of a conceptual architecture and f...

We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of...

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.

this paper is devoted to the concepts of fuzzy upper and fuzzy lower contra-continuous multifunctions and also some characterizations of them are considered.

We study when the existence of an increasing selection can be derived from the monotonicity of a multifunction w.r.t. an extension of the basic order from points to subsets. The most interesting results emerge when the target is a lattice and monotonicity is interpreted in one of the ways suggested by A.F. Veinott, Jr. An increasing selection exists if (1) the multifunction is weakly ascending ...