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[PDF] Top 20 On Almost β Topological Vector Spaces

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On Almost β Topological Vector Spaces

On Almost β Topological Vector Spaces

... of topological vec- tor spaces, namely, almost β -topological vector spaces by using the concept of β -open ...of almost β -topological ... See full document

9

Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff 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 ... See full document

11

γ and β Approximations via General Ordered Topological Spaces

γ and β Approximations via General Ordered Topological Spaces

... of topological connections with rough ...γ, β via topological ordered spaces and studied their properties which may be viewed as a generalization of previous studies in general approximation ... See full document

10

On Generalized Implicit Vector Equilibrium Problems in Topological Ordered Spaces

On Generalized Implicit Vector Equilibrium Problems in Topological Ordered Spaces

... Theorem 2.1. Let K be a nonempty compact Δ-convex subset of a topological semilattice with path- connected intervals M, let Y be a Hausdorff topological vector space. Let A : K → 2 K be a mapping with ... See full document

9

Fixed points of condensing multivalued maps in topological vector spaces

Fixed points of condensing multivalued maps in topological vector spaces

... Definition 3.2. Let K be a closed convex subset of a topological vector space E, Y a nonempty subset of K , and ψ a c -measure of noncompactness on K . An upper semicon- tinuous map F : Y → k(K) is said to ... See full document

6

On order continuous duals of vector lattices of continuous functions

On order continuous duals of vector lattices of continuous functions

... of vector lattices of continuous functions on the one hand, and normal measures on the underlying topological spaces on the other ...Stonean spaces, and later generalised to completely regular ... See full document

28

On g-β-Irresolute Functions on Generalized Topological Spaces

On g-β-Irresolute Functions on Generalized Topological Spaces

... Proof: We give a proof of the first equality, because that of the other is quite similar. Suppose that, x 6∈ β- θ-cA. Then there exists, g-β-open set V containing x such that βcV ∩ A = ∅. Therefore by ... See full document

13

Topological Vector-Space Valued Cone Banach Spaces

Topological Vector-Space Valued Cone Banach Spaces

... metric spaces is more general than that of metric spaces, because each metric space is a cone metric space, and a cone metric space in the sense of Huang and Zhang is a special case of tvs-cone metric ... See full document

15

Multiplication operators on weighted spaces in the non locally convex framework

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] ... See full document

5

Some properties of continuous linear operators in topological vector PN-spaces

Some properties of continuous linear operators in topological vector PN-spaces

... real vector space, τ and τ ∗ are continuous triangle functions with τ ≤ τ ∗ and ν is a mapping (the probabilistic norm) from V into ∆ + , such that for every choice of p and q in V the following ... See full document

7

An Extension of Fixed Point Theorems in TVS- Valued Cone Metric Spaces

An Extension of Fixed Point Theorems in TVS- Valued Cone Metric Spaces

... metric spaces to topological vector space valued cone metric space and obtained common fixed points of a pair of mapping satisfying generalized contractive type conditions w8ithout assumption of ... See full document

7

Tightly Proper Efficiency in Vector Optimization with Nearly Cone Subconvexlike Set Valued Maps

Tightly Proper Efficiency in Vector Optimization with Nearly Cone Subconvexlike Set Valued Maps

... convex topological vector spaces are ...set-valued vector optimization problem is introduced and a scalarization theorem for tightly proper efficiency in vector optimization problems ... See full document

24

On parametric implicit vector variational inequality problems

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 ... See full document

7

New versions of the Fan-Browder fixed point theorem and existence of economic equilibria

New versions of the Fan-Browder fixed point theorem and existence of economic equilibria

... ff topological vector spaces in some of Urai’s results can be replaced by con- vex spaces with finite covers consisting of open (closed) neighborhoods of points of those ... See full document

10

Minimax problems under hierarchical structures

Minimax problems under hierarchical structures

... Theorem  Let U, V be nonempty compact convex subsets of real Hausdorff topological spaces, respectively. W is a real Hausdorff topological vector space. We work under the framework of Theorem ... See full document

15

Fixed Point in Topological Vector Space-Valued Cone Metric Spaces

Fixed Point in Topological Vector Space-Valued Cone Metric Spaces

... of topological vector space-valued cone metric spaces which is bigger than that of studied in ...in topological vector space valued cone metric ... See full document

9

Fixed Point Theorem of Half-Continuous Mappings on Topological Vector Spaces

Fixed Point Theorem of Half-Continuous Mappings on Topological Vector Spaces

... Example 3.3. Let E be a nontrivial vector space. Then the topology {∅, E} makes E into a locally convex t.v.s. that is not Hausdorff and E ∗ {0} see 10. So E ∗ does not separate points on E. Consequently, every ... See full document

10

*—Inductive limits and partition of unity

*—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] ... See full document

6

11. Generalized Composite Vector Equilibrium Problems

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 ... See full document

14

Uniform liftings of continuous mappings

Uniform liftings of continuous mappings

... of spaces that includes other types of nonstandard hulls, in particular, nonstandard hulls of topological vector spaces ...consider topological spaces obtained as sub- ... See full document

15

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