Fixed point theory for a new type of contractive multivalued operators
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Publication:1009656
DOI10.1016/j.na.2008.05.005zbMath1213.54068OpenAlexW2056368348MaRDI QIDQ1009656
Publication date: 2 April 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.05.005
fixed pointwell-posednessmultivalued operatordata dependencehomotopy resultmultivalued weakly Picard operatorstrict fixed pointgeneralised contractionnonself multivalued operator
Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25)
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Cites Work
- Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces
- New results in the theory of multivalued mappings. II: Analysis and applications
- Leray-Schauder type results for multivalued contractions
- Data dependence of the fixed point set of some multivalued weakly Picard operators.
- Generalized multivalued contractions.
- Set-valued topological contractions
- Well-posedness in the generalized sense of the fixed point problems for multivalued operators
- Multi-valued contraction mappings in generalized metric spaces
- Fixed Points and Stationary Points of Dissipative Multivalued Maps
- Stable Sets and Stable Points of Set-Valued Dynamic Systems with Applications to Game Theory
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