Results 21 to 30 of about 246 (128)
Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016 This paper is aimed at providing three versions to solve and characterize weak solutions for Dirichlet problems involving the p‐Laplacian and the p‐pseudo‐Laplacian. In this way generalized versions for some results which use Ekeland variational principle, critical points for nondifferentiable functionals, and Ghoussoub‐Maurey linear principle have ...
Irina Meghea, Khalil Ezzinbi
wiley +1 more source
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We give necessary and sufficient conditions for exchange of limits of double‐indexed families, taking values in sets endowed with an abstract structure of convergence, and for preservation of continuity or semicontinuity of the limit family, with respect to filter convergence.
Antonio Boccuto +2 more
wiley +1 more source
Bornological structures on many-valued sets [PDF]
, 2017 We introduce an approach to the concept of bornology in the framework of many-valued mathematical structures and develop the basics of the theory of many-valued bornological spaces and initiate the study of the category of many-valued bornological spaces
Alexander Šostak +3 more
core +1 more source
Strong Proximal Continuity and Convergence
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 In several situations the notion of uniform continuity can be strengthened to strong uniform continuity to produce interesting properties, especially in constrained problems. The same happens in the setting of proximity spaces. While a parallel theory for uniform and strong uniform convergence was recently developed, and a notion of proximal ...
Agata Caserta +3 more
wiley +1 more source
Caristi Type Coincidence Point Theorem in Topological Spaces
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained. These results are used to establish variational principle and its equivalences in d‐complete spaces, bornological vector space, seven kinds of completed quasi‐semimetric spaces equipped ...
Jiang Zhu +3 more
wiley +1 more source
Bornological Convergence and Shields
Mediterranean Journal of Mathematics, 2011 Starting with an ideal \(\mathcal{S}\), that is, a family \(\mathcal{S}\) of nonempty subsets of a metric space \(\langle X,d\rangle\) that is closed with respect to taking finite unions and taking nonempty subsets and considering the \(\epsilon\)-enlargement of a set \(E\subseteq X\) (for \(\epsilon>0\)), defined by \(E^\epsilon:=\bigcup_{a\in E}S_ ...
Beer, G: Costantini, C, LEVI, SANDRO
openaire +3 more sources
Statistical Convergence in Function Spaces
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. Also, we discuss a statistical approach to recently introduced notions of strong uniform convergence and exhaustiveness.
Agata Caserta +3 more
wiley +1 more source
On bornological semigroups [PDF]
2015 International Conference on Research and Education in Mathematics (ICREM7), 2015 In this paper we introduce and study the concept of a bornological semigroup. This generalizes the theory of algebraic semigroup from the algebraic setting to the framework of bornological set. Working with bornological set allows to extend the scope of the latter theory considerably.
A.N. Imran, I. S. Rakhimov
openaire +1 more source
An Ascoli theorem for sequential spaces
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 5, Page 303-315, 2001., 2001 Ascoli theorems characterize “precompact” subsets of the set of morphisms between two objects of a category in terms of “equicontinuity” and “pointwise precompactness,” with appropriate definitions of precompactness and equicontinuity in the studied category.
Gert Sonck
wiley +1 more source
A useful algebra for functional calculus [PDF]
, 2018 summary:We show that some unital complex commutative LF-algebra of ${\mathcal {C}}^{(\infty )}$ $\mathbb {N}$-tempered functions on $\mathbb {R}^+$ (M.
Hemdaoui, Mohammed, Mohammed Hemdaoui
core +1 more source