Fixed points of contractive multivalued maps

DOI10.1090/S0002-9939-96-03265-0zbMath0863.47040OpenAlexW1602103746MaRDI QIDQ4714676

Mirosław Ślosarski, Salvatore A. Marano, Lech Gorniewicz

Publication date: 20 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03265-0

zbMATH Keywords

fixed pointsabsolute retractcontractive multivalued maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items

On connections between some selection and approximation results for multivalued maps ⋮ Topological structure of solution sets to multi-valued asymptotic problems ⋮ A topological property of the common fixed points set of two multivalued operators ⋮ Porosity and fixed points of nonexpansive set-valued maps ⋮ Pointwise estimates for retractions on the solution set to Lipschitz differential inclusions ⋮ Porosity results on fixed points for nonexpansive set-valued maps in hyperbolic spaces

Cites Work

• Continuous selections. I
• Simplicial convexity and its applications
• \({\mathcal A}\)-fixed points of multi-valued contractions
• Fixed points of multivalued contractions with nonclosed, nonconvex values
• Continuous selections for a class of non-convex multivalued maps
• Extensions and selections of maps with decomposable values
• A Class of Absolute Retracts in Spaces of Integrable Functions
• Classical solutions of partial differential inclusions in banach spaces
• The range of a vector measure
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