Endpoints of set-valued asymptotic contractions in metric spaces

DOI10.1016/j.aml.2010.10.028zbMath1206.54043OpenAlexW1964571291MaRDI QIDQ617002

Majid Fakhar

Publication date: 20 January 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.10.028

zbMATH Keywords

fixed pointcomplete metric spaceapproximate endpoint propertyendpointasymptotic contraction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (10)

Fixed point theorems and endpoint theorems for \((\alpha,\psi)\)-Meir-Keeler-Khan multivalued mappings ⋮ Endpoints of multivalued nonexpansive mappings in geodesic spaces ⋮ Common endpoints of generalized weak contractive mappings via separation theorem with applications ⋮ Fixed point and endpoint theorems for set-valued fuzzy contraction maps in fuzzy metric spaces ⋮ Some new common fixed point results for generalized contractive multi-valued non-self-mappings ⋮ On the fixed point of \((\psi - \varphi)\)-weak and generalized \((\psi - \varphi)\)-weak contraction mappings ⋮ Two new types of fixed point theorems in complete metric spaces ⋮ Some asymptotic stationary point theorems in topological spaces ⋮ Fixed points of multivalued \(\alpha\)-admissible mappings and stability of fixed point sets in metric spaces ⋮ Unnamed Item

Cites Work

• The set-valued dynamic systems and its applications to Pareto optima
• Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces
• Fixed point theory for a new type of contractive multivalued operators
• Endpoints of set-valued contractions in metric spaces
• On Kirk's asymptotic contractions
• Fixed points of asymptotic contractions
• Set-valued topological contractions
• Endpoints of set-valued dynamical systems of asymptotic contractions of Meir-Keeler type and strict contractions in uniform spaces
• Endpoint theory for set-valued nonlinear asymptotic contractions with respect to generalized pseudodistances in uniform spaces
• Fixed Points and Stationary Points of Dissipative Multivalued Maps
• On Nonlinear Contractions
• Set-valued analysis
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