...-Applications dans une variété
Applications of Brézis-Browder principle to the existence of fixed points and endpoint for multifunctions.
Applications of certain R-families
Applications of complete families of continuous functions to the theory of -spaces
Applications of Luzinian separation principles (non-separable case)
Applications of the Fréchet subdifferential
2000 Mathematics Subject Classification: 46A30, 54C60, 90C26.In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
Applications of the Rådström-Hörmander Embedding Theorem to Multifunctions
Using the Rådström-Hörmander theorem on embedding of the hyperspace of closed convex sets in a Banach space, we prove multivalued versions of some results known for real functions.
Approximate polyhedra, resolutions of maps and shape fibrations
Approximating fixed points of nonexpansive mappings in hyperspaces.
Approximation from the exterior of Carathéodory multifunctions
Approximation of Quasiconvex Functions, and Lower Semicontinuity of Multiple Integrals.
Approximation of the pareto optimal set for multiobjective optimal control problems using viability kernels
This paper provides a convergent numerical approximation of the Pareto optimal set for finite-horizon multiobjective optimal control problems in which the objective space is not necessarily convex. Our approach is based on Viability Theory. We first introduce a set-valued return function V and show that the epigraph of V equals the viability kernel of a certain related augmented dynamical system. We then introduce an approximate set-valued return function with finite set-values as the solution of...
Approximation of the Steady State System State Distribution of the M/G/1 Retrial Queue With Impatient Customers
Approximation of Univariate Set-Valued Functions - an Overview
2000 Mathematics Subject Classification: 26E25, 41A35, 41A36, 47H04, 54C65.The paper is an updated survey of our work on the approximation of univariate set-valued functions by samples-based linear approximation operators, beyond the results reported in our previous overview. Our approach is to adapt operators for real-valued functions to set-valued functions, by replacing operations between numbers by operations between sets. For set-valued functions with compact convex images we use Minkowski...
Approximation of with countable subsets of and calibers of the space
Approximative retracts and fundamental retracts
Arc property of Kelley and absolute retracts for hereditarily unicoherent continua
We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for λ-dendroids, for dendroids) has the arc property of Kelley.
Are EC-spaces AE(metrizable)?
Are most measurable functions one-to-one?
A-realcompact spaces.
Relations between homomorphisms on a real function algebra and different properties (such as being inverse-closed and closed under bounded inversion) are studied.