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
Approximation theorems for compactifications
We shall show several approximation theorems for the Hausdorff compactifications of metrizable spaces or locally compact Hausdorff spaces. It is shown that every compactification of the Euclidean n-space ℝⁿ is the supremum of some compactifications homeomorphic to a subspace of . Moreover, the following are equivalent for any connected locally compact Hausdorff space X: (i) X has no two-point compactifications, (ii) every compactification of X is the supremum of some compactifications whose remainder...
Approximation theorems in probabilistic normed spaces.
Approximation theoretical properties of M-ideals (Abstract)
Approximation von Fixpunkten
Approximations of Stone-Cech compactifications by Higson compactifications
Approximative expansions of maps into inverse systems
Approximative limit and related notions
Some notions of limit weaker than the topological one are studied.
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.
Archimedean and geodetical biequivalences
Archimedean uniform spaces and their natural boundedness
Arcs in the Hilbert cube whose complements have different fundamental groups
Arcwise accessibility in hyperspaces [Book]
Arcwise connected and hereditarily smooth continua
Arcwise connected and locally arcwise connected sets