Real-valued non compactness measures in topological vector spaces and applications

DOI10.1007/s43037-020-00061-2zbMath1477.47039OpenAlexW3012315973MaRDI QIDQ2192880

Nabil Machrafi, Lahbib Oubbi

Publication date: 21 August 2020

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-020-00061-2

zbMATH Keywords

fixed pointnoncompactness measureprecompact settopological vector spacecompletely regular spacecompact open topologyAscoli theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) General theory of locally convex spaces (46A03) Bornologies and related structures; Mackey convergence, etc. (46A17) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (3)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

• Some fixed point theorems in locally \(p\)-convex spaces
• Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces
• Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces based on measures of noncompactness
• Shrinkable neighborhoods in Hausdorff linear spaces
• Weighted composition operators on non-locally convex weighted spaces
• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• Fixed points and stability for a sum of two operators in locally convex spaces
• Punti uniti in trasformazioni a codominio non compatto
• Compactness in Spaces of Vector Valued Continuous Functions and Asymptotic Almost Periodicity
• LIMIT-COMPACT AND CONDENSING OPERATORS
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