Locally Convex Topological 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
Complex Function Theory for Functions with Arguments and Values in Locally Convex Linear Topological Spaces
... a theory of analytic functions is developed for functions of a complex variable with values in a sequentially complete locally convex complex linear topological space l.t.s... The theory[r] ...
125
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
A class of generalized best approximation problems in locally convex linear topological spaces
... In a locally convex linear topological space every element possesses at least one best approximation with respect to every closed, convex and finite dimensional set.. In a finite dimensi[r] ...
10
Fast complete locally convex linear topological spaces
... Locally convex space, fast complete space, bornological space, barrelled space, Mackey space, Baire space.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE.[r] ...
6
On generalized difference lacunary statistical convergence in a paranormed space
... in locally convex Hausdorff topological spaces by Maddox [], in topological Hausdorff groups by Çakallı [] and in probabilistic normed space by Karakuş ...
7
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, where X ...
7
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
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
Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces
... 2 If X is reflexive, then the strong continuity plainly implies compactness. Moreover, assumption iii of Theorem 2.1 is always verified. Also, every continuous mapping on X satisfies condition H2. If in addition we ...
20
On a Metric on Translation Invariant Spaces
... In the next theorem we show that the metric space T I(G) is disconnected. Theorem 2.7. The space T I(G) is disconnected in the translation metric. Proof. It is enough to show that T I(G) has an open and ...
7
Generalized g quasivariational inequality
... Let E be a metric space and let F be a topological vector space. Let X and Y be nonempty subsets of E and F, respectively, and let 2 X be the family of all nonempty sub- sets of X. We will denote by ...
13
Periodic Boehmians
... hat the Boehmians, with a given complete metric topological vector space topology, is not locally bounded... KEY WORDS AND PHRASES..[r] ...
8
Functionally closed sets and functionally convex sets in real Banach spaces
... approximately convex subset M of a linear normed space X, by denoting the multivalued mapping which puts into correspondence with each point x ∈ X, the set T x of all points y ∈ M which satisfy the ...
6
A minimax inequality and its applications to fixed point theorems in CAT(0) spaces
... Theorem 2.1 (KKM mapping principle) Suppose that E is a complete CAT(0) space with the convex hull finite property and X is a nonempty subset of E. Furthermore, sup- pose M : X ® 2 X is a KKM mapping with ...
9
Fixed points and selections of set valued maps on spaces with convexity
... a topological space Z and two single-valued continuous maps p : Z → X, q : Z → Y such that p is proper and for any x ∈ X, (i) p −1 (x) is acyclic, and (ii) q(p −1 (x)) ⊂ ...
18
2.Gap functions and error bounds for random extended generalized variational inequality problem
... Lemma 2.3. Suppose (S, T ) be a measurable space and H be a Hilbert space. Let g : S× H → H be a random fuzzy mapping and φ : H → R∪{+∞} be an extended real valued function. Suppose that the random fuzzy ...
15
A general vector valued variational inequality and its fuzzy extension
... On the other hand, Chang and Zhu [8] introduced the concept of variational inequalities for fuzzy mappings in locally convex Hausdorff topological vector spaces and investigated existenc[r] ...
6