Topological Vector Spaces
Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces
... In this paper, a scalarization result of ε-weak efficient solution for a vector equilibrium problem (VEP) is given. Using this scalarization result, the connectedness of ε-weak efficient and ε -efficient solutions ...
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L fuzzifying topological vector spaces
... L-fuzzifying topological vec- tor spaces (here L is a completely distributive lattice) and study some of their basic prop- ...such spaces in terms of the corresponding L-fuzzifying neighborhood ...
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Linear Ideals and Linear Grills in Topological Vector Spaces
... and Susha D. [15] introduced the concept of Linear Čech closure spaces and studied its fundamental properties. In this paper, we study the notion of linear grills and linear ideals and also we introduced two new ...
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Flett's mean value theorem in topological vector spaces
... In the sequel, we will let X and Y be Hausdorff topological vector spaces over the field R of real numbers, and A ⊂ X be an open set. Furthermore, we assume that Y has a continuous dual Y ∗ . A ...
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On boundedly convex functions on pseudo topological vector spaces
... Abstract. Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces. It is proved that for “good” ...
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Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces
... Inspired and motivated by research works [1, 3, 4, 6, 7], in this paper, we study the solvability of a new class of nonlinear variational inequality problems in nonempty closed convex subsets and nonempty convex subsets ...
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On Almost β Topological Vector Spaces
... every topological vector space is an almost β -topological vector ...-topological vector spaces which fails to be to- pological vector ...
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On Irresolute Topological Vector Spaces
... and topological structures, then by means of a mathematical phenomenon, we can construct a new structure, on the bases of an old structure which is well ...of topological vector spaces, ...
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Fixed Point Theorem of Half-Continuous Mappings on Topological Vector Spaces
... Almost a century ago, L. E. J. Brouwer proved a famous theorem in fixed point theory, that any continuous mapping from the closed unit ball of the Euclidean space R n to itself has a fixed point. Later in 1930, J. ...
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Fixed points of condensing multivalued maps in topological vector spaces
... The aim in this paper is to obtain multivalued versions of the Schauder fixed point the- orem in complete metric linear spaces. For this we consider three classes of multivalued maps; that is, admissible maps ...
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An Extension of Fixed Point Theorems in TVS- Valued Cone Metric Spaces
... ordered topological vector spaces are used as the co domain of metric instead of Banach ...metric spaces to TVS- CMS can be obtained only in the case of non normal ...
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Multiplication operators on weighted spaces in the non locally convex framework
... KEY WORDS AND PHRASES: Nachbin family of weights, topological vector spaces, vector-valued continuous functions, weighted topology, multiplication operators, locally idempotent topologic[r] ...
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11. Generalized Composite Vector Equilibrium Problems
... Abstract. In this paper, we study the weak and strong versions of gener- alized composite vector equilibrium problem in Hausdorff topological vector spaces. The generalized KKM-theorem due to ...
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*—Inductive limits and partition of unity
... We prove that if a partition of unity exists on a *-inductive limit space of a collection of topological vector spaces, then it is isomorphic and homeomorphic to a subspace of a *-direct[r] ...
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Tightly Proper Efficiency in Vector Optimization with Nearly Cone Subconvexlike Set Valued Maps
... linear spaces to locally convex topological vector spaces and got the equivalent relations among tightly proper efficiency, strict efficiency and ...in vector optimization involving nearly ...
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On parametric implicit vector variational inequality problems
... Hausdorff topological vector ...Hausdorff topological vector spaces with mild as- sumptions and removing the condition of being locally non-positive at a point has been applied in ...
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New versions of the Fan-Browder fixed point theorem and existence of economic equilibria
... ff topological vector spaces that appeared in some of Urai’s results can be replaced by mere convex spaces with finite open (closed) ...
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Some properties of continuous linear operators in topological vector PN-spaces
... Abstract. The notion of a probabilistic metric space corresponds to the situa- tions when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a ...
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On Generalized Flett's Mean Value Theorem
... Sahoo, “Flett’s mean value theorem in topological vector spaces,” International Journal of Mathematics and Mathematical Sciences, vol.. Pawlikowska, “An extension of a theorem of Flett,”[r] ...
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On Almost Pretopological Vector Spaces
... of topological vector spaces was first introduced and studied by Kolmogroff [1] in ...s-topological vector spaces which is a generalization of topological vector ...
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