Results 131 to 140 of about 796,048 (181)
New definition of locally convex L-topological vector spaces
Fuzzy Sets and Systems, 2008 In this paper, a new definition of locally convex L-topological vector spaces is given. The relationship between this new definition and the previous definition of locally convex L-topological vector spaces given by Yan and Fang in 1999 is investigated. Moreover, the concept of generalized L-fuzzy semi-norm is introduced.
Hua-Peng Zhang, Jin-xuan Fang
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Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces [PDF]
Journal of Optimization Theory and Applications, 2000 This paper studies the connectedness of the cone superefficient point set in locally convex topological vector spaces. First, we prove a scalarization theorem for a cone superefficient point set. From this result, we obtain the connectedness of a cone superefficient point set under the conditions that the set is cone convex and cone weakly compact.
Yuda Hu, Chen Ling
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On the Density of Henig Efficient Points in Locally Convex Topological Vector Spaces
Journal of Optimization Theory and Applications, 2014 This paper presents a generalization of the Arrow, Barankin and Blackwell theorem to locally convex Hausdorff topological vector spaces. Our main result relaxes the requirement that the objective set be compact; we show asymptotic compactness is sufficient, provided the asymptotic cone of the objective set can be separated from the ordering cone by a ...
Joseph Newhall, Robert K. Goodrich
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Super Efficiency for a Vector Equilibrium in Locally Convex Topological Vector Spaces
, 2000 This paper deals with the vector equilibrium problem. The concept of super efficiency for vector equilibrium is introduced. A scalar characterization of super efficient solution for vector equilibrium is given. By using of the scalarization result, we discuss the connectedness of super efficient solutions set to the vector equilibrium problems in ...
Xun Hua Gong, Wan Tao Fu, Wei Liu
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Sequential Separation Theorems and S-Locally Convex Topological Vector Spaces
Mathematische Nachrichten, 1982 Ray F. Snipes
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ABOUT A WEAK INTEGRAL IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES
Real Analysis Exchange, 1999 Haluška
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Local convexity and local boundedness of induced -topological vector spaces
Fuzzy Sets and Systems, 2007In this paper, we prove that an L-topological vector space is locally convex (locally bounded) iff its induced I(L)-topological vector space is locally convex (locally bounded), where I(L) is the L-fuzzy unit interval. Also, we give a necessary and sufficient condition for the induced I(L)-topological vector space to be I(L)-fuzzy normable.
Jin-xuan Fang, Hua-Peng Zhang
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Proper Efficiency in Locally Convex Topological Vector Spaces
Journal of Optimization Theory and Applications, 1997We present a general treatment of proper efficiency, which was originally given in normed vector spaces; we introduce a new kind of efficiency in locally convex topological vector spaces. We examine the relationships among these efficiencies. As an application, we prove a strong Ekeland variational principle.
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TOPOLOGICAL DECOMPOSITIONS OF THE DUALS OF LOCALLY CONVEX VECTOR SEQUENCE SPACES
Quaestiones Mathematicae, 1985ABSTRACT Let Λ be a scalar sequence space which is endowed with a normal locally convex topology. For a separated locally convex space E we denote by Λ(E) the vector space of all sequences g in E for which (>g(i),a x, f(i)
William H. Ruckle, Jan Fourie
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