On nonlinear inclusions in non-smooth domains
type: Item
instance of: scholarly article
title: On nonlinear inclusions in non-smooth domains
zbMATH Open document ID: 1272.47066
published in: Arabian Journal of Mathematics
publication date: 2013-01-02T00:00:00Z
review text: The author reviews old and new extensions of the famous intermediate value theorem of Bolzano and Poincaré to a set valued operator defined on a possibly nonconvex, nonsmooth or even non-Lipschitz domain \(X\) in a normed space \(E\).
reviewed by: Leszek Gasiński
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 34K21
zbMATH DE Number: 6120999
zbMATH Keywords: intermediate value theorem
zbMATH Keywords: multivalued operator
zbMATH Keywords: normed space
author: Hichem Ben-El-Mechaiekh
Wikidata QID: Q59289473
MaRDI profile type: Publication
full work available at URL: s40065-012-0048-8
OpenAlex ID: W1970417604
cites work: Q3242419
cites work: Q3851212
cites work: Viability theory
cites work: Q3324260
cites work: Stochastic nagumo's viability theorem
cites work: Set-valued analysis
cites work: Q5614853
cites work: Existence of maximizable quasiconcave functions on paracompact convex spaces
cites work: Q3039979
cites work: Q3361442
cites work: Spaces and maps approximation and fixed points
cites work: Equilibria for set-valued maps on nonsmooth domains
cites work: Q3671741
cites work: Q4881622
cites work: Q4854764
cites work: Equilibria of set-valued maps on nonconvex domains
cites work: The Wazewski topological method for contingent equations
cites work: Homotopy invariants for tangent vector fields on closed sets
cites work: Fixed-point theorems and Morse's lemma for Lipschitzian functions
cites work: Q5532996
cites work: Q4660002
cites work: The fixed point theory of multi-valued mappings in topological vector spaces
cites work: Propriété de viabilité pour des équations différentielles stochastiques rétrogrades et applications à des équations aux dérivées partielles
cites work: Q5718754
cites work: Q5590338
cites work: Fixed points and equilibria in nonconvex sets
cites work: Q4079371
cites work: Euler characteristic and fixed-point theorems
cites work: Existence of generalized equilibria
cites work: Q4000472
cites work: Extensions of two fixed point theorems of F. E. Browder
cites work: Q4057217
cites work: Some properties of convex sets related to fixed point theorems
cites work: Q4014790
cites work: Existence of equilibria of set-valued maps on bounded epi-Lipschitz domains in Hilbert spaces without invariance conditions
cites work: Monotone viable trajectories for functional differential inclusions
cites work: Fixed point theorems for set-valued maps in infinite dimensional spaces
cites work: A Fixed-Point Theorem for Inward and Outward Maps
cites work: Q5522732
cites work: Q4367585
cites work: Existence of fixed points on compact epilipschitz sets without invariance conditions
cites work: Q3232510
cites work: Equilibria of nonconvex valued maps under constraints
cites work: Continuous selections. I
cites work: Q3845569
cites work: Q5839061
cites work: Q4693253
cites work: Local differentiability of distance functions
cites work: Q5767856
cites work: Clarke's tangent cones and the boundaries of closed sets in Rn
cites work: A fixed point theorem, and some applications
cites work: Nagumo type condition for partial differential inclusions
cites work: Q5513450
cites work: A necessary and sufficient condition for upper hemicontinuous set-valued mappings without compact-values being upper demicontinuous
DOI: 10.1007/S40065-012-0048-8
description: scientific article; zbMATH DE number 6120999