locally convex space
Generalized Cλ Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space
... Generalized Cλ-Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space B.Özaltın, İ.. Dağadur∗ Department of Mathematics, Faculty of Scienc[r] ...
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Fixed point theorems for set valued Caristi type mappings in locally convex space
... Since there are many spaces which are not normable, in this paper, we generalize the results of Isac (see [13]) and Lazaiz et al (see [15]). We obtain a several common fixed point theorems for two set-valued maps in a ...
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Fixed point theorems for sum of two mappings on not necessarily convex subset of a locally convex space
... in locally convex ...a convex subset of a locally convex space to sum of two mappings defined on almost convex subset as well as star-shaped subset of a locally ...
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A characterization between fixed point properties of weak nonexpansive semigroups and the existence of a left invariant mean on the space of weakly almost periodic functions
... One can define S as a action on AP(S) ∗ by s(ψ ) = l s ∗ ψ for all s ∈ S and ψ ∈ AP(S) ∗ . It is easy to see that, the semigroup S acts linearly on AP(S) ∗ by s 7→ l s ∗ . Let K be the family of all means on AP(S), ...
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The Mackey convergence condition for spaces with webs
... DEFINITION 2: A locally convex space satisfies the Mac:key convergence condition if each of its null sequences is a Mackey null sequence... Mackey convergence is defined by Mackey in.[r] ...
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Proof of Constructive Version of the Fan-Glicksberg Fixed Point Theorem Directly by Sperner’s Lemma and Approximate Nash Equilibrium with Continuous Strategies: A Constructive Analysis
... a locally convex space using Sperner’s lemma, and applied it to a proof of the existence of a Nash equilib- rium in a strategic game with continuous strategies and quasi- concave payoff ...
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Generalized g quasivariational inequality
... metric space E, let Y be a nonempty convex, compact set in a Hausdor ff locally convex space F, let g be a continuous function from X into Y , and let C be an upper hemicontinuous ...
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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 ...
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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] ...
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On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces
... of locally convex -space is introduced in section ...BK space lies between these two ...BK space, and what is the relation between these spaces and other known locally ...
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Some properties of Banach valued sequence spaces ℓp[X]
... of locally convex spaces, especially in the investigation of nuclear spaces through λ-summing opera- tors ...nuclear locally convex space X in terms of the absolutely p-summable ...
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Strictly extreme and strictly exposed points
... A strictly exposed point of a subset C of a locally convex space E will be said to the strongly strictly exposed provided that the function f of the definition of strictly exposed may be[r] ...
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ON THE COMPLETENESS PROPERTIES OF THE C-COMPACT-OPEN TOPOLOGY ON C(X)
... Tychonoff space X, pseudocompactness equivalent to feebly compactness of ...a space X is called a feebly compact if whenever countably infinite locally finite open cover of X has a proper ...
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Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature
... is convex with respect to both variables, a fact which implies that every ball in a global NPC space is a convex ...closed convex subsets of a global NPC space are in turn spaces of the ...
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Nonsmooth analysis and optimization on partially ordered vector spaces
... A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice.. Sample applications to the theory of nonsmoot[r] ...
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A note on nonfragmentability of Banach spaces
... Hausdorff space X with the tree-completeness property contains a disjoint sequences of clopen sets, then (C(X), weak) is not fragmented by any metric which is stronger than weak ...equivalent locally ...
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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] ...
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Some results over thin-thick sets in cone locally convex spaces
... ear operators from X into Y, which is pointwise bounded on A, is bounded. It is evi- denced in [2] a strong uniform boundedness principle valid on all Banach spaces for the thick sets. As an practice of this result it is ...
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Denseness of Numerical Radius Attaining Holomorphic Functions
... The following is an application of the numerical boundary to the density of numerical radius attaining holomorphic functions. Similar application of the norming subset to the density of norm attaining holomorphic ...
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Linear functionals on Orlicz sequence spaces without local convexity
... The general form of continuous linear functionals on an Orlicz sequence space 1’ nonseparable and non-locally convex in general is obtained.. KEY WORDS AND PHRASES.[r] ...
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