AbstractAn approximation theorem for an upper semicontinuous mapping F from an arbitrary (not necessarily ANR) metric space X is proved, under certain control on degree of nonconvexity of values F(x), x∈X. The proof uses a generalization of the lemma on the Lebesgue number of a covering for the noncompact case
AbstractThree topologies on function spaces are considered; in increasing order of fineness they are...
summary:We study the covering dimension of the fixed point set of lower semicontinuous multifunction...
AbstractFor an open subset U of a locally convex space E, let (H(U),τ0) denote the vector space of a...
AbstractFor any upper semicontinuous and compact-valued (usco) mapping F : X→Y from a metric space X...
AbstractAn approximate open mapping principle for multifunctions between metric spaces with closed g...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
AbstractWe characterize upper semicontinuity of multifunctions in terms of upper Hausdorff semiconti...
AbstractLet f:X→Y be continuous where X is a topological space and Y a metric space. Given a set E⊂Y...
AbstractIn this paper we study some aspects of the approximation of mappings taking values in a spec...
AbstractWe prove three theorems yielding sufficient conditions for a continuous function f: X → Y to...
From a real-valued function , unbounded on a totally bounded subset of a metric space, we construct...
L~t (X,d) be a metric space. A Lebesgue number for an open cover lj of X is an E> 0 such that for...
We approximate an upper semicontinuous multifunction F(t) from the interval [0,1] into the compact, ...
AbstractExamples are given showing that P2 and bi-quotient mappings are not the same for mappings be...
Let (U;D) be a Gr-covering approximation space (U; C) with covering lower approximation operator D a...
AbstractThree topologies on function spaces are considered; in increasing order of fineness they are...
summary:We study the covering dimension of the fixed point set of lower semicontinuous multifunction...
AbstractFor an open subset U of a locally convex space E, let (H(U),τ0) denote the vector space of a...
AbstractFor any upper semicontinuous and compact-valued (usco) mapping F : X→Y from a metric space X...
AbstractAn approximate open mapping principle for multifunctions between metric spaces with closed g...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
AbstractWe characterize upper semicontinuity of multifunctions in terms of upper Hausdorff semiconti...
AbstractLet f:X→Y be continuous where X is a topological space and Y a metric space. Given a set E⊂Y...
AbstractIn this paper we study some aspects of the approximation of mappings taking values in a spec...
AbstractWe prove three theorems yielding sufficient conditions for a continuous function f: X → Y to...
From a real-valued function , unbounded on a totally bounded subset of a metric space, we construct...
L~t (X,d) be a metric space. A Lebesgue number for an open cover lj of X is an E> 0 such that for...
We approximate an upper semicontinuous multifunction F(t) from the interval [0,1] into the compact, ...
AbstractExamples are given showing that P2 and bi-quotient mappings are not the same for mappings be...
Let (U;D) be a Gr-covering approximation space (U; C) with covering lower approximation operator D a...
AbstractThree topologies on function spaces are considered; in increasing order of fineness they are...
summary:We study the covering dimension of the fixed point set of lower semicontinuous multifunction...
AbstractFor an open subset U of a locally convex space E, let (H(U),τ0) denote the vector space of a...
DOI
Add to ORKG