Some theorems on a minimum of a function, fixed and coincidence points

DOI10.1134/S1995080223080164zbMath1529.54020OpenAlexW4389103095MaRDI QIDQ6140428

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Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223080164

zbMATH Keywords

fixed pointoperator inequalitycoincidence pointmultivalued mapminimum of function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Unnamed Item
• Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points
• Fixed point theorems for multivalued mappings on complete metric spaces
• Caristi's inequality and \(\alpha \)-contraction mappings
• Minimum of a functional in a metric space and fixed points
• Nonconvex minimization problems
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Multivalued Maps and Differential Inclusions

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