Topological Vector Space
Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces
... metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a normal cone metric ...
8
Fixed Point Theory on a Frechet Topological Vector Space
... convex topological vector space E into M such that AM is contained in a compact set, has a ...Banach space, M be a bounded closed convex subset of E, and A, B be operators on M into E such ...
10
Fixed Point in Topological Vector Space-Valued Cone Metric Spaces
... Banach space-valued cone metric ...of topological vector space-valued cone metric spaces which is bigger than that of studied in ...in topological vector space valued cone ...
9
Fixed points in topological vector space (tvs) valued cone metric spaces
... Many authors [5, 6, 7, 8, 10, 22, 15, 27] studied fixed points results of mappings satisfying contractive type condition in Banach space valued cone metric spaces. In recent papers [9] the authors obtained common ...
12
Topological Vector-Space Valued Cone Banach Spaces
... Let E be a topological vector space with its zero vector θ. A nonempty subset K of E is called a convex cone if K + K ⊆ K and λK ⊆ K for λ ≥ 0. A convex cone K is said to be pointed (or ...
15
Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
... We develop the theory of topological vector space valued cone metric spaces with nonnormal cones. We prove three general fixed point results in these spaces and deduce as corollaries several ...
17
Equivalent Solutions of Nonlinear Equations in a Topological Vector Space with a Wedge
... We obtain efficient conditions under which some or all solutions of a nonlinear equation in a topological vector space preordered by a closed wedge are comparable with respect to the corresponding ...
25
Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space
... In the example developed in [5] one begins with a population of healthy shrimp and infects them with a recombinant viral vector (e.g., recombinant Taura Syndrome virus or rTSV in the example developed in [5]) ...
34
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 ...
15
On the dual space of a weighted Bergman space on the unit ball of Cn
... The Hackey topology of a non-locally convex topological vector space X,x is the unique locally convex topology m on X satisfying the follow3... is weaker than x,.[r] ...
8
An Extension of Fixed Point Theorems in TVS- Valued Cone Metric Spaces
... Abstract: the purpose of this is to obtain common fixed point theorems for contractive mappings in the setting of topological vector space-valued cone metric spaces. Our results generalize some well- ...
7
Best Approximation in TVS
... In this paper we give new results on the best approxi- mation in the Hausdorff topological vector space and consider rela- tionship with orthogonality.. Introduction and Prelimiaries.[r] ...
5
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, ...
8
The closed neighborhood and filter conditions in solid sequence spaces
... and Suppose that E is a topological vector space under two topologles, the closed satisfies that [I] E, shall say and Garllng [2], we Following Robertson neighborhood condition with resp[r] ...
8
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
... a topological vector space (t.v.s.), fixed point, convex space, polytope, quasi-equilibrium problem, variational inequality, economic equilibrium theorem, abstract economy, equilibrium point, ...
21
On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces
... While no nonconstant linear partial differential operator maps the field of meromorphic functions onto itself, we construct a locally convex topological vector space of formal power seri[r] ...
20
Multivalued fixed point theorems in tvs-cone metric spaces
... Let E be a topological vector space with its zero vector θ . A nonempty subset P of E is called a convex cone if P + P ⊆ P and λP ⊆ P for λ ≥ . A convex cone P is said to be pointed (or ...
13
On Almost β Topological Vector Spaces
... τ = φ . Then ( Z ( ) , τ ) is an almost β -topological vector space. Example 3.4 Let τ be the topology induced by open intervals ( a b , ) and the sets [ c d , ) where a b c d , , , ∈ with 0 ...
9
Means with values in a Banach lattice
... Following his technique Husain and Wong, [6,7] developed a theory of left invariant means with values in E*, the dual of a locally convex topological vector space ictvs.. Later Husain [8[r] ...
8
Lecture Notes on Frame Operators
... Definition : (i) A topological vector space is a vector space endowed with a topology such that both the scalar multiplication and the addition are continuous maps.. The key point in [r] ...
6