An application of the continuous selection theorem to the study of the fixed points of multivalued mappings
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Publication:757812
DOI10.1016/0022-247X(90)90220-AzbMath0724.47030MaRDI QIDQ757812
Publication date: 1990
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
convex-closed valued multifunctionsfixed point theorems of Krasnosel'skij typeimplicit function lemmas of Filippov typeselection theorem of Michael type for weakly lower semicontinuous multifunctions
Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Selections in general topology (54C65)
Related Items
Fixed point theorems for multi-valued nonexpansive mappings in Banach spaces ⋮ Multivalued versions of a Krasnosel'skii-type fixed point theorem ⋮ Existence of solutions for a nonlinear integral equation via a hybrid fixed point theorem ⋮ MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION ⋮ A hybrid nonlinear alternative theorem and some hybrid fixed point theorems for multimaps ⋮ Existence results for a coupled system of perturbed functional differential inclusions in Banach algebras ⋮ Multivalued operators and fixed-point theorems in Banach algebras. II ⋮ Hybrid fixed points of multivalued operators in metric spaces with applications ⋮ Continuous selections and retractive representations for the fixed points sets of set valued Reich's contractions ⋮ Nonconvexity in problems of multivalued calculus
Cites Work
- Continuous selections. I
- On fixed point stability for set-valued contractive mappings with applications to generalized differential equations
- A stability result for differential inclusions in Banach spaces
- \({\mathcal A}\)-fixed points of multi-valued contractions
- Multi-valued contraction mappings in generalized metric spaces
- Michael Selection Theorem Under Weak Lower Semicontinuity Assumption
- Multivalued contraction with parameter
- A Note on Paracompact Spaces
