Ascoli-type theorems in the cone metric space setting

DOI10.1186/1029-242X-2014-420zbMath1373.54011WikidataQ59395487 ScholiaQ59395487MaRDI QIDQ2405711

Antonio Boccuto, Xenofon Dimitriou

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

filter convergencecone metric spaceLipschitz metricglobal continuitylattice group(free) filter(weak) filter exhaustivenessascoli theorem

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Metric spaces, metrizability (54E35) Spaces of measures, convergence of measures (28A33) Vector-valued measures and integration (46G10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Fuzzy real analysis (26E50) Set functions, measures and integrals with values in ordered spaces (28B15) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (3)

Ascoli-type theorems in the cone metric space setting ⋮ Abstract theorems on exchange of limits and preservation of (semi)continuity of functions and measures in the filter convergence setting ⋮ Unnamed Item

Cites Work

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• Semicontinuous limits of nets of continuous functions
• Abstract Korovkin-type theorems in modular spaces and applications
• An improvement of the Arzela-Ascoli theorem
• A note on the equivalence of some metric and cone metric fixed point results
• Compatible and weakly compatible mappings in cone metric spaces
• On cone metric spaces: a survey
• Integral and ideals in Riesz spaces
• Some integral type fixed point theorems in non-Archimedean Menger PM-spaces with common property (E.A) and application of functional equations in dynamic programming
• The notion of exhaustiveness and Ascoli-type theorems
• Fixed point theorem for two non-self mappings in cone metric spaces
• Common fixed points under contractive conditions in cone metric spaces
• \(K\)-metric and \(K\)-normed linear spaces: Survey
• Fuzzy probabilities and fuzzy sets for web planning
• \(\mathcal I\)-convergence
• Fuzzy probabilities. New approach and applications
• Topological vector space-valued cone metric spaces and fixed point theorems
• A unified theory of cone metric spaces and its applications to the fixed point theory
• The Lipschitz metric for real-valued continuous functions
• On the tripled fixed point and tripled coincidence point theorems in fuzzy normed spaces
• Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces
• Ascoli-type theorems in the cone metric space setting
• A convergence-theoretic viewpoint on the Arzelá-Ascoli theorem
• Banach algebras of Lipschitz functions
• Ascoli-type theorems and ideal (α)-convergence
• Arzela-Ascoli theorem is stable
• Basic matrix theorems for $\mathcal{I}$-convergence in (ℓ)-groups
• (Strong) weak exhaustiveness and (strong uniform) continuity
• Schur lemma and limit theorems in lattice groups with respect to filters
• Ideal convergence and divergence of nets in (ℓ)-groups
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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