Generalized fixed-point theorems. Applications

DOI10.30546/2617-7900.43.1.2023.112OpenAlexW4384570922WikidataQ123116140 ScholiaQ123116140MaRDI QIDQ6118287

Kamal N. Soltanov

Publication date: 23 February 2024

Published in: TRANSACTIONS ISSUE MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2617-7900.43.1.2023.112

zbMATH Keywords

convex setsnonlinear equationsfixed-point theoremnonlinear inclusionnonlinear mappings

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) General theory of locally convex spaces (46A03) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Cites Work

• Some nonlinear equations of the nonstable filtration type and embedding theorems
• Geometry of Banach spaces. Selected topics
• Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators
• Averaged norms
• Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
• Some mapping theorems
• Convex sets in linear spaces
• Convex sets in linear spaces. II
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Weakly Compact Sets
• Convex Analysis
• Continuous Convex Sets.
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