Results 31 to 40 of about 8,714,469 (204)
Quasi-Differentiable Functions on Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1971 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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Elementary evolutions in Banach algebra [PDF]
, 2013 An elementary class of evolutions in unital Banach algebras is obtained by integrating product functions over Guichardet's symmetric measure space on the half-line.
Lindsay, J. Martin, Das, Bata Krishna
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Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces
Abstract and Applied Analysis, 2013 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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Indagationes Mathematicae, 2002 Suppose \((\Omega, {\mathcal A}, \mu)\) is a \(\sigma\)-finite measure space and \(L^\infty (\Omega , \mu)\) the classical \(M\)-space of \(\mu\)-essentially bounded real \(\mu\)-measurable functions. This paper presents the author's detailed analysis of the so-called Banach function \(M\)-spaces. A special case is the \(L^\infty\)-modules of \(\mathbb
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Variational Convexity of Functions in Banach Spaces
, 2023 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
Abstract and Applied Analysis, 2014 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
Журнал Средневолжского математического общества, 2021 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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A note on local asymptotic behaviour for Brownian motion in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1979 In this paper we obtain an integral characterization of a two-sided upper function for Brownian motion in a real separable Banach space. This characterization generalizes that of Jain and Taylor [2] where B=ℝn.
Mou-Hsiung Chang
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Advances in Difference Equations, 2021 In this article, first, we present an example of fuzzy normed space by means of the Mittag-Leffler function. Next, we extend the concept of fuzzy normed space to matrix valued fuzzy normed space and also we introduce a class of matrix valued fuzzy ...
Safoura Rezaei Aderyani, Reza Saadati
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On the Generalization of a Multiplicity Result
Mathematics, 2022 In this work, we shifted a recent multiplicity result by B. Ricceri from a Hilbert space to a Banach space setting by making use of a duality mapping relative to some increasing function.
Marek Galewski
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