AbstractThe paper is devoted to a general factorization theorem for “continuous” set-valued mappings defined on arbitrary topological spaces. This result fits naturally into the selection theory showing that several known selection theorems remain valid under minimal hypotheses. Also, the result is successful in proving new theorems for the existence of selections on spaces of closed subsets
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
AbstractWe demonstrate that the classical Michael selection theorem for l.s.c. mappings with a colle...
AbstractThe paper presents a general approach to some selection results for set-valued mappings defi...
AbstractThe paper is devoted to a general factorization theorem for “continuous” set-valued mappings...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
AbstractThe aim of the paper is to outline the known results and the main technics they are obtained...
AbstractFor a set-valued mapping, the relationships between lower semicontinuity, almost lower semic...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
AbstractIf (Y, d) is a complete metric space with a non-Archimedean metric d, then there exists a se...
AbstractA theorem is proved which states that any almost lower semicontinuous set-valued mapping wit...
AbstractIt is shown that every l.s.c. closed-and-convex valued mapping Φ:X→2Y, where X is a heredita...
AbstractWe prove that Michaelʼs paraconvex-valued selection theorem for paracompact spaces remains t...
AbstractA theorem is proved which states that any almost lower semicontinuous set-valued mapping wit...
AbstractConditions are obtained under which a set-valued function ϕ : X ⇒ 2Y has a continuous select...
AbstractAs a rule, most of the classical Michael-type selection theorems are analogues and, in some ...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
AbstractWe demonstrate that the classical Michael selection theorem for l.s.c. mappings with a colle...
AbstractThe paper presents a general approach to some selection results for set-valued mappings defi...
AbstractThe paper is devoted to a general factorization theorem for “continuous” set-valued mappings...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
AbstractThe aim of the paper is to outline the known results and the main technics they are obtained...
AbstractFor a set-valued mapping, the relationships between lower semicontinuity, almost lower semic...
AbstractIn this paper, we present a new continuous selection theorem inH-space which includes the se...
AbstractIf (Y, d) is a complete metric space with a non-Archimedean metric d, then there exists a se...
AbstractA theorem is proved which states that any almost lower semicontinuous set-valued mapping wit...
AbstractIt is shown that every l.s.c. closed-and-convex valued mapping Φ:X→2Y, where X is a heredita...
AbstractWe prove that Michaelʼs paraconvex-valued selection theorem for paracompact spaces remains t...
AbstractA theorem is proved which states that any almost lower semicontinuous set-valued mapping wit...
AbstractConditions are obtained under which a set-valued function ϕ : X ⇒ 2Y has a continuous select...
AbstractAs a rule, most of the classical Michael-type selection theorems are analogues and, in some ...
AbstractEvery set-valued mapping satisfying an assumption weaker than lower semi-continuity admits a...
AbstractWe demonstrate that the classical Michael selection theorem for l.s.c. mappings with a colle...
AbstractThe paper presents a general approach to some selection results for set-valued mappings defi...
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