منابع مشابه
C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings
Abstract. In this paper, we define the notion of C*-affine maps in the unital *-rings and we investigate the C*-extreme points of the graph and epigraph of such maps. We show that for a C*-convex map f on a unital *-ring R satisfying the positive square root axiom with an additional condition, the graph of f is a C*-face of the epigraph of f. Moreover, we prove som...
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Every open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed sets F0, F1 ⊂ X , with f(F0) = Y = f(F1), provided all fibers of f are infinite and C∗-embedded in X . Applications are demonstrated for the existence of “disjoint” usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and for special type of factorizations of open co...
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We generalise clones, which are sets of functions f : A → A, to sets of mappings f : A → A. We formalise this and develop language that we can use to speak about it. We then look at bijective mappings, which have connections to reversible computation, which is important for physical (e.g. quantum computation) as well as engineering (e.g. heat dissipation) reasons. We generalise Toffoli’s semina...
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We study continuous maps of an interval into itself. We find the necessary and sufficient condition for the maps of the type 2" to have the shadowing property. Further we show that any chaotic map, which has only cycles of order a power of 2, does not have the shadowing property. Introduction Let /:/(=(0;l))—»7 be a continuous map of the interval 7 to itself (i.e., / G C°(7, 7)). The orbit of x...
متن کاملPseudomonotone∗ maps and the cutting plane property
Pseudomonotone∗ maps are a generalization of paramonotone maps which is very closely related to the cutting plane property in variational inequality problems (VIP). In this paper, we first generalize the so-called minimum principle sufficiency and the maximum principle sufficiency for VIP with multivalued maps. Then we show that pseudomonotonicity∗ of the map implies the “maximum principle suff...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1987
ISSN: 0166-8641
DOI: 10.1016/0166-8641(87)90063-0