In this paper we attempt a unification of several selection theorems in the literature by
introducing the notion of a selection class and give sufficient conditions for the existence of …

SURVEY OF MEASURABLE SELECTION THEOREMS: RUSSIAN LITERATURE
SUPPLEMENT* the survey of Wagner as "Wagner." many-valued, Page 1 SIAM J. CONTROL …

Suppose (T,M) is a measurable space, X is a topological space, and ∅≠F(t)⊂X for t∈T.
Denote GrF={(t,x):x∈F(t)\}. The problem surveyed (reviewing work of others) is that of …

General definitions and notation are given In § 2. In~ 3 we repeat some of the main results
reviewed in [WG3], supplanted by [IF3]. The final section summarizes those corrections to …

B" XB" XI X2 X,. for 0.,;; t.,;; 1. When 0.,;; t.,;; t0, we have a formula for the volume V,. of the
unit ball B,.. Thus/(t) has the constant value V,. for 0.,;; t.,;; t0• But it is clear from (5) that I (t) is …

Necessary and sufficient conditions are given for a class of optimization problems involving
optimal selection of a measurable subset from a given measure space subject to set function …

S+ T:={s+tlsS and tT}. Page 1 SIAM J. CONTROL AND OPTIMIZATION Vol. 23,No. 5, September
1985 1985 Society for Industrial and Applied Mathematics 001 A CHARACTERIZATION OF …

1. Introduction and main results. This paper is concerned with a one-stage decision model,
given by a tupel ((S,|(A, Q), D, u) of the following meaning:(i) S represents the state space …

UNDER WEAK LOWER SEMICONTINUITY ASSUMPTION F(x0)cf]{F(x) + eB\xGU}. f]{F(x) +
eB\xG U}±0. Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume …

A recent theorem Of W. Takahashi will be pointed out as an equivalent formulation of
Ekelands variational principle. This gives rise to study functions having sets of weak sharp …