Results 21 to 30 of about 38,134 (191)
, 2020 In this paper, we introduce a new class of bilevel equilibrium problems with lower and upper bounds in locally convex Hausdorff topological vector spaces and establish some conditions for the existence of solutions to these problems using the Kakutani ...
N. Hung, D. O’Regan
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Fixed points and selections of set-valued maps on spaces with convexity
International Journal of Mathematics and Mathematical Sciences, 2000 We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex
Peter Saveliev
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Approximate Benson efficient solutions for set-valued equilibrium problems
Journal of Inequalities and Applications, 2020 In locally convex Hausdorff topological vector spaces, the approximate Benson efficient solution is proposed for set-valued equilibrium problems and its relationship to the Benson efficient solution is discussed.
Shasha Hu, Yihong Xu, Zhichao Niu
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“Varopoulos paradigm”: Mackey property versus metrizability in topological groups. [PDF]
, 2006 The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces (lcs) considered as topological groups. Therefore it is natural to extend classical properties of locally convex spaces to this larger class of abelian ...
Außenhofer, L. +3 more
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International Journal of Mathematics and Mathematical Sciences, 1981 A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the ...
Albert Wilansky
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Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
Journal of Function Spaces and Applications, 2013 The notion of asymptotic almost periodicity was first introduced by Fréchet in 1941 in the case of finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several ...
Liaqat Ali Khan, Saud M. Alsulami
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Optimality Conditions and Duality for DC Programming in Locally Convex Spaces
Journal of Inequalities and Applications, 2009 Consider the DC programming problem (PA) infx∈X{f(x)−g(Ax)}, where f and g are proper convex functions defined on locally convex Hausdorff topological vector spaces X and Y, respectively, and A is a linear operator from X to Y.
Xianyun Wang
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Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Nonsmooth analysis and optimization on partially ordered vector spaces
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
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Webbed spaces, double sequences, and the Macke convergence condition
International Journal of Mathematics and Mathematical Sciences, 1999 In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are
Armando García-Martínez
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