[PDF] Top 20 On Irresolute Topological Vector Spaces
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On Irresolute Topological Vector Spaces
... of irresolute topological vector ...lute topological vector spaces are defined by using semi open sets and irresolute ...of irresolute topological ... See full document
8
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 ... See full document
10
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
On order continuous duals of vector lattices of continuous functions
... A topological space X is called resolvable if it contains a dense subset with dense ...given vector lattice of (not necessarily bounded) continuous functions on X separates every point outside the resolving ... See full document
28
On pre- -Open Sets and Contra pre- -continuous Functions and Contra pre- -irresolute Functions in Topological Spaces
... in topological spaces namely, pre-α-open sets and we show that the family of all pre-α-open sets in a topological space ( X , τ ) form a topology on X which is finer than τ ...in topological ... See full document
14
Fixed points of condensing multivalued maps in topological vector spaces
... The main result is that every compact convex set in a complete metric linear space has the fixed point property with respect to admissible maps. The proof is based on the sim- plicial approximation property and its ... See full document
6
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 ... See full document
6
On boundedly convex functions on pseudo topological vector spaces
... pseudo-topological vector space (p.v.s.) is a vector space X equipped with a pseudo- topology that is compatible with the vector structure in X (in the sense that the op- erations of addition ... See full document
11
Linear Ideals and Linear Grills in Topological Vector Spaces
... Given a topological space (X, τ) with an ideal I on X, a set operator (. ) ∗ : ℘ X → ℘(X) called a local function of a subset A with respect to τ and I is defined as A ∗ I, τ = x ∈ X U ∩ A ∉ I, ∀ U ∈ τ x }, where ... See full document
5
On Generalized Implicit Vector Equilibrium Problems in Topological Ordered Spaces
... generalized vector equilibrium problems have been studied in different conditions by many authors and a lot of results concerned with the existence of solutions and properties of solutions have been given in finite ... See full document
9
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
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) ... See full document
10
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
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
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
... 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
... 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
(r*g*)* continuous maps in topological spaces
... Let X=Y={a,b,c}, = { ,X, {a},{a,c}}, Closed set = { ,X, {b,c},{b}} (r*g*)* closed set are of X are{ ,X, {a}{b}{a,b},{b,c},{a,c} }σ = { ,Y, {a}} Closed set = { ,Y, {b,c}} (r*g*)* closed sets of Y are { ,Y,{b},{a,b} ... See full document
7
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
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
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