compact subset
General solutions for choice sets: The Generalized Optimal Choice Axiom set
... over compact sets of ...every compact subset of X contains a maximal ...any compact subset of ...in compact sets. Alcantud in [1] relaxes the notion of compact- ness by ...
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Universal Kernels
... prescribed compact subset Z of X , any positive number ε and any function f ∈ C( Z ) there is a function g ∈ K( Z ) such that k f − g k Z ≤ ...of compact subset Z of the input space X , the ...
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Swiss cheeses and their applications
... a compact subset of the complex plane can be uniformly approximated by rational ...of compact subsets of the complex plane on which this algebra has interesting properties are obtained by deleting a ...
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Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces
... nonempty compact subset of a Banach space and { T(t) : t ≥ } is a semi- group of nonexpansive mappings, then t≥ F(T (t)) = ∅ []; see also [–] and ...
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On the Douglas-Kazakov phase transition
... The support of the weighted equilibrium measure on Σ in the external potential Q is the smallest compact subset of Σ with finite logarithmic energy which minimises the functional MS Q.. [r] ...
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Numerical Approach of Network Problems in Optimal Mass Transportation
... Network Problems Applied to the Urban Transportation In the models of optimal design of an urban area we considered that the urban area is a well known regular compact subset of d [r] ...
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Superharmonic functions and bounded point evaluations
... SUPERHARMONIC FUNCTIONS AND BOUNDED POINT EVALUATIONS EDWIN WOLF Department of Mathematics University of Lowell Lowell, Massachusetts 01854.. Let E be a compact subset of the complex pla[r] ...
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Fixed points of condensing multivalued maps in topological vector spaces
... convex subset B of K such that F(B) is a relatively compact subset of ...is compact and C ⊂ ...obviously compact in the complete metric space ...the compact convex set C, G : = F ...
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A view on g -Fuzzy Compactness
... Remark : If a g-fuzzy topological space (X, ) is not Hausdorff then a fuzzy compact subset need not be closed.. Thus the ordinary topology and ordinary topological spaces become spec[r] ...
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Functions in the space R2(E) at boundary points of the interior
... FUNCTIONS IN THE SPACE R2E AT BOUNDARY POINTS OF THE INTERIOR EDWIN WOLF Department of Mathematics Marshall University Huntington, West Virginia 25701.. Let E be a compact subset of the [r] ...
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Fixed Point Theory on a Frechet Topological Vector Space
... Definition 2.4 see 9, 10. A locally convex topological vector space E is said to have the Dunford-Pettis DP property if any continuous linear map of E into a complete locally convex topological vector space F, which ...
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Normal Criteria and Shared Values by Differential Polynomials
... each compact subset of C, where g is a non-constant meromorphic function with or , all of whose poles are ofmultiplicities at least 2, all hose zeros are of multiplicities at least ...
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Strong convergence for asymptotically nonexpansive mappings in the intermediate sense
... Our Theorem . carries over Theorem of Takahashi and Kim [] to an ANI mapping. Theorem . Let C be a nonempty closed convex subset of a strictly convex Banach space E, and let T : C → C be an ANI mapping, and ...
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An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces
... any compact subset C of a reflexive Banach space E is weakly compact, and from Proposition ...convex subset of a weakly compact subset C of a Banach space E is itself weakly ...
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Packing measures, packing dimensions, and the existence of sets of positive finite measure
... Chapter 2 presents work which was done jointly with Professor D. Preiss, and which has been published as such. It is shown here that, with one of the possible radius-based definitions of packing measure, every analytic ...
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Fixed point theorems for nonexpansive mappings on nonconvex sets in UCED Banach spaces
... 3. A common fixed point theorem for strongly nonexpansive mappings. By [3, Proposition 1.2], it is easy to see that every strongly nonexpansive mapping T : C → C on a nonempty bounded closed subset C of a Banach ...
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Nonexpansive mappings defined on unbounded domains
... Penot proved that if f : C → C is a nonexpansive and asymptotically contractive map- ping defined on a closed convex subset C of a uniformly convex Banach space, then f has a fixed point. To prove this result he ...
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Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces
... strongly. So, by Lemma 4.7, we obtain the desired result. Theorem 5.2. Let E be a smooth reflexive Banach space with the Opial property and let C be a closed convex subset of E. Assume that the duality mapping J ...
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Some topologies on the set of lattice regular measures
... Consider any topological space X such that X is T1, locally compact, normal, and .9" is strongly measure replete, and let f -.9".. Then for every subset of M/Ro,.7",A, ifA is w’compact, [r] ...
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Characterizations of c α continuous functions
... Definition 3.1: A function f: X Y is said to be c-α- continuous if for each x X and each open set V Y containing f (x) and having compact complement, there exists an α-open set U containing x such that f(U) ...
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