๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Intersection Formulae and the Marginal Function in Banach Spaces

โœ Scribed by A. Jourani

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
681 KB
Volume
192
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Intersection formulae are central to the development of subdifferential calculus and the differentiation of marginal functions. In this paper, we reexamine the connection between independence conditions and intersection formulae. Then we apply the formulae to a general parametric mathematical programming problem in which the constraints are defined by multivalued functions. These results allow us to obtain generalized chain rules for composite functions. Corollaries of this work include several well-known intersection formulae and calculus rules. c 1995 Academic Press, Inc.

๐Ÿ“œ SIMILAR VOLUMES

On the Davis inequality in Banach functi
On the Davis inequality in Banach function spaces
โœ Masato Kikuchi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 172 KB ๐Ÿ‘ 1 views

## Abstract We give a characterization of those Banach function spaces in which the Davis inequality for martingales is valid. (ยฉ 2008 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

The weak topology on q-convex Banach fun
The weak topology on q-convex Banach function spaces
โœ L. Agud; J. M. Calabuig; E. A. Sรกnchez Pรฉrez ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 198 KB ๐Ÿ‘ 1 views

## Abstract Let __X__(ฮผ) be a Banach function space. In this paper we introduce two new geometric notions, __q__โ€convexity and weak __q__โ€convexity associated to a subset __S__ of the unit ball of the dual of __X__(ฮผ), 1 โ‰ค __q__ < โˆž. We prove that in the general case both notions are not equivalent

Inverse and Implicit Function Theorems f
Inverse and Implicit Function Theorems for Nonsmooth Maps in Banach Spaces
โœ Zsolt Pรกles ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 273 KB

We extend the classical inverse and implicit function theorems, the implicit function theorems of Lyusternik and Graves, and the results of Clarke and Pourciau to the situation when the given function is not smooth, but it has a convex strict prederivative whose measure of noncompactness is smaller

On the Stability of Functional Equations
On the Stability of Functional Equations in Banach Spaces
โœ Themistocles M Rassias ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 140 KB

The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces. The problem was posed by Ulam 60 years ago.