Locally convex topological vector space
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
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
Fixed Point Theory on a Frechet Topological Vector Space
... closed convex set M in Hausdorff locally 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 ...
10
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
Fixed point theorems for sum of two mappings on not necessarily convex subset of a locally convex space
... of locally convex topological vector space, Cain and Nashed [2], extended Krasnoselskii’s result to the sum T + S of a contraction mapping T : X → E and a continuous mapping S : X → E, ...
7
Fixed points of set-valued maps in locally complete spaces
... With the tools we have developed so far we can present a couple of interesting applications to fixed point theory. Let (X, τ ) be a complete locally convex topological vector space and ...
11
Existence of a Walrasian Equilibrium in Locally Convex Topological Vector Spaces, with Interdependent Utility Functions
... existence of Walrasian equilibrium. That is, we show the existence of a pair ( p x , ) conformed by prices and an allocation, in a dual pair ( E F , ) (see below), such that every consumer maximizes his preferences (that ...
14
Existence Result of Generalized Vector Quasiequilibrium Problems in Locally -Convex Spaces
... linear convex structures, Park and Kim 29 introduced another abstract convexity notion called a G-convex space, which includes many abstract convexity notions such as H-convex spaces as ...
13
Minimax problems under hierarchical structures
... compact convex subset of a real Hausdorff topological vector space, W be a complete locally convex Hausdorff topological vector ...
15
Topological Vector-Space Valued Cone Banach Spaces
... related topological concepts and characterize the tvs-cone norm in various ...generalize locally convex tvs generated by a family of tvs-cone ...
15
An Extension of Gregus Fixed Point Theorem
... closed convex subset C of a Banach space X converges to the fixed point of ...metrizable locally convex space, and C is closed and convex, then the Mann iteration sequence of the ...
8
Generalized Quasi Variational Type Inequalities
... a locally convex Hausdorff topological vect ace ov , X be a nonempty com- pact convex subset of E and F a Hausdorff topo- logical vector space over , : F E be a ...
8
Extensions of best approximation and coincidence theorems
... Ding and Tan [9, Theorem 4]" X is a weakly compact convex subset of a locally convex Hausdorff topological vector space E, r, g lx, and F KX, w, E, T.. From Theorem 3.1, we obtain the fo[r] ...
10
Some results on invariant approximation
... For further results on fixed points one should refer to [141, [161 We give the following in locally convex Hausdorff topological vector space E improving Theorem V.. Let f E be an asympt[r] ...
5
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... The theory of hypergroups was initiated by Dunkl [4], Jewett [8] and Spector [21] in the early 1970's and has received a good deal of attention from harmonic analysts (note that Jewett calls hypergroups ''convos'' in his ...
8
New versions of the Fan-Browder fixed point theorem and existence of economic equilibria
... Proof. Assume the contrary, that is, for all x ∈ X, P(x) = ∅ . Then { x ∈ X | x / ∈ P(x) } = X = K p : = { x ∈ X | P(x) = ∅} . Therefore, P satisfies all the requirements for ψ men- tioned in Theorem 3.1 so that P has a ...
10
Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces
... strong vector quasiequilibrium problem (SSVQEP) with- out assuming that the dual of the ordering cone has a weak* compact ...real locally convex Hausdorff topological vector spaces, K ⊂ ...
13
Asymmetric locally convex spaces
... a convex subset of a vector space X is called an extreme point of Y provided that (1 − t)x + t y = e, for some x, y ∈ Y and 0 < t < 1, implies that x = y = ...nonempty convex subset Z of ...
24
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
Some Maximal Elements' Theorems in Spaces
... CH-convex space to FC-space without linear structure; Section 22 from H-majorized correspondences to generalized G B -majorized mapping; Section 23 ...
12