Results 21 to 30 of about 2,539 (196)
Operating Functions for Banach Function Spaces
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Briem, Eggert, Jarosz, Krzysztof
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Some Intersections of the Weighted -Spaces
Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided.
F. Abtahi +3 more
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Generalized Numerical Index of Function Algebras
Let X be a complex Banach space and Cb(Ω:X) be the Banach space of all bounded continuous functions from a Hausdorff space Ω to X, equipped with sup norm.
Han Ju Lee
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Quasi-Differentiable Functions on Banach Spaces [PDF]
Nonzero Fréchet differentiable functions with bounded support do not exist on certain real separable Banach spaces. As a result, the class of differentiable functions on such spaces is too small to be useful. For example, the class of differentiable functions on certain spaces does not separate disjoint closed subsets of the space.
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Constructive utility functions on Banach spaces [PDF]
Let \(X\) be a topological space and let ``\(\preceq\)'' be a preorder on \(X\) (a complete, reflexive, transitive binary relation). We say that ``\(\preceq\)'' is continuous if, for all \(x\in X\), the upper section \(U(x):=\{y\in X \,;\, y\succeq x\}\) and the lower section \(L(x):=\{y\in X \,;\, y\preceq x\}\) are closed subsets of \(X\).
Alcantud, Jose C. R. +1 more
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On Pentagonal Controlled Fuzzy Metric Spaces with an Application to Dynamic Market Equilibrium
In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces.
Aftab Hussain +3 more
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Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces
We first introduce a new class of mappings called Bregman asymptotic pointwise nonexpansive mappings and investigate the existence and the approximation of fixed points of such mappings defined on a nonempty, bounded, closed, and convex subset C of a ...
Chin-Tzong Pang, Eskandar Naraghirad
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Variational Convexity of Functions in Banach Spaces
This paper addresses the study and characterizations of variational convexity of extended-real-valued functions on Banach spaces. This notion has been recently introduced by Rockafellar, and its importance has been already realized and applied to continuous optimization problems in finite-dimensional spaces.
Khanh, Pham Duy +3 more
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Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces
Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function;
Chin-Tzong Pang +2 more
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Simplification method for nonlinear equations of monotone type in Banach space
In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
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