On fixed points of multivalued mappings in spaces with a vector-valued metric

DOI10.1134/S0081543819040199zbMath1436.54042OpenAlexW2981288790WikidataQ127000668 ScholiaQ127000668MaRDI QIDQ2284211

Evgeny S. Zhukovskiy, Elena A. Panasenko

Publication date: 14 January 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819040199

zbMATH Keywords

fixed pointboundary value problemmultivalued mapintegral inclusioncontraction mapfunctional differential inclusionNadler theoremvector-valued matric

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Other nonlinear integral equations (45G10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Boundary value problems for functional-differential equations (34K10) Functional-differential inclusions (34K09)

Related Items (5)

On the existence problem for a fixed point of a generalized contracting multivalued mapping ⋮ Kantorovich's fixed point theorem and coincidence point theorems for mappings in vector metric spaces ⋮ On operator inclusions in spaces with vector-valued metrics ⋮ The fixed points of contractions of \(f\)-quasimetric spaces ⋮ A note on generalized contraction theorems

Cites Work

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• Multidimensional version of M. A. Krasnosel'skii's generalized contraction principle
• Perturbations of vectorial coverings and systems of equations in metric spaces
• The program iteration method in a game problem of guidance
• A version of the programmed iterations method
• On coincidence points for vector mappings

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