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[PDF] Top 20 A Note on Implicit Functions in Locally Convex Spaces

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A Note on Implicit Functions in Locally Convex Spaces

A Note on Implicit Functions in Locally Convex Spaces

... Banach spaces, Λ an open subset of the real line R or of the complex plane C, A an open subset of the product space Λ × X and LX, Y the space of all continuous linear operators from X into Y ... See full document

6

Efficiency and Choquet boundaries in separated locally convex spaces

Efficiency and Choquet boundaries in separated locally convex spaces

... separated locally convex spaces, which cannot be obtained as a consequence of the axiomatic potential theory and, following the above results, offers new pertinent prop- erties for the efficient point ... See full document

15

Complex Function Theory for Functions with Arguments and Values in Locally Convex Linear Topological Spaces

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] ... See full document

125

On locally convex probabilistic normed spaces

On locally convex probabilistic normed spaces

... We recall the definition, properties, and examples of probabilistic normed spaces. Let be the space of distribution functions, and + := { F ∈ : F() =  } be the subset of distance distribution ... See full document

13

On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces

On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces

... of locally convex ...of spaces of functions and operators acting on them, is devoted to a classification problem: what is the relation between a different types of locally convex ... See full document

9

Optimality Conditions and Duality for DC Programming in Locally Convex Spaces

Optimality Conditions and Duality for DC Programming in Locally Convex Spaces

... Before establishing the relationship between problems P A,p and D A,p , we give useful formula for computing the values of conjugate functions. The formula is an extension of a well-known result, called Toland ... See full document

10

Multipliers and operators on the tempered
ultradistribution spaces of Roumieu type for the
distributional Hankel type transformation spaces

Multipliers and operators on the tempered ultradistribution spaces of Roumieu type for the distributional Hankel type transformation spaces

... ultradifferentiable functions of Roumieu type and of Buerling type, Roumieu type ultradi ff erentiable functions have been considered in the present ...of spaces of rapidly decreasing ... See full document

7

Positive operators and approximation in function spaces on completely regular spaces

Positive operators and approximation in function spaces on completely regular spaces

... function spaces defined on possibly nonlocally compact spaces (in the locally compact case the theory is rather rich and complete, see, ...continuous functions on subsets of infinite- ... See full document

31

Multiplication operators on weighted spaces in the non locally convex framework

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

5

Existence of a Walrasian Equilibrium in Locally Convex Topological Vector Spaces, with Interdependent Utility Functions

Existence of a Walrasian Equilibrium in Locally Convex Topological Vector Spaces, with Interdependent Utility Functions

... In Section 5 we consider a pure exchange economy whose utilities are interdependent and prices dependent The consumption set, for this economy is the positive cone of a locally convex to[r] ... See full document

14

Some fixed point theorems in locally p-convex spaces

Some fixed point theorems in locally p-convex spaces

... on convex sets and p-convex ...vector spaces by using p-convex sets instead of convex sets, see also [, ...of locally p-convex ... See full document

10

Common fixed points and best approximations in locally convex spaces

Common fixed points and best approximations in locally convex spaces

... In this article, we begin with a common fixed point result for a pair (T, f) of weakly compatible as well as R-weakly commuting maps in the setting of a Hausdorff locally convex space. This result provides ... See full document

9

Series of New Information Divergences, Properties and Corresponding Series of Metric Spaces

Series of New Information Divergences, Properties and Corresponding Series of Metric Spaces

... Many research papers have been studied of I.J. Taneja, P. Kumar, S.S. Dragomir, K.C. Jain and others, who gave the idea of divergence measures, their properties, their bounds and relations with other measures. These all ... See full document

9

On the Krasnoselskii type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces

On the Krasnoselskii type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces

... Banach spaces and proved a theorem on the existence of fixed points for such map- pings in uniformly convex Banach ...to locally convex spaces a well known fixed point theorem of ... See full document

11

Periodic point and fixed point results for monotone mappings in complete ordered locally convex spaces with application to differential equations

Periodic point and fixed point results for monotone mappings in complete ordered locally convex spaces with application to differential equations

... Corollary 3.6. Let E be a complete ordered locally convex space with a normal cone E + . Let u 0 , v 0 ∈ E, u 0 ≤ v 0 and let T : E → E be a continuous nonincreasing mappings such that u 0 ≤ T 2k (u 0 ) and ... See full document

11

On reducibility of some operator semigroups and algebras on
locally convex spaces

On reducibility of some operator semigroups and algebras on locally convex spaces

... Ꮽ and by [5, Theorem 2], Ꮽ is triangularizable and the same holds for ᏿. Corollary 2.21. Let ᏿ be a family of nuclear operators on a barreled H -locally convex space. Then ᏿ is triangularizable if the trace ... See full document

11

\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function

\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function

... of note that the presented results in particular contain a number of fractional integral inequalities for h-convex, m-convex, s-convex, convex and related functions (see Remark 1 ... See full document

10

A Note on Subadditivity and Antisymmetricity Involving Generalized Convex Functions

A Note on Subadditivity and Antisymmetricity Involving Generalized Convex Functions

... J.Sandor [1], [2], [3], [4] has studied the  -convex function which he first defined in 1988. He also introduced and studied  -invexity. In 2003 J. Sandor [5] introduced the notion of A- convexity. In this ... See full document

7

On generalized difference lacunary statistical convergence in a paranormed space

On generalized difference lacunary statistical convergence in a paranormed space

... normed spaces by Kolk [], in locally convex Hausdorff topological spaces by Maddox [], in topological Hausdorff groups by Çakallı [] and in probabilistic normed space by Karakuş ...sequence ... See full document

7

A note on geometrically convex functions

A note on geometrically convex functions

... namely, convex analysis. Convex curves and convex bodies have appeared in mathematical literature since antiquity and there are many important results related to ... See full document

12

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