Common fixed points for generalized contractive multivalued operators in complete metric spaces

DOI10.1016/j.aml.2009.06.028zbMath1203.54047OpenAlexW1964058342MaRDI QIDQ847284

Shihuang Hong, Minjian Shen

Publication date: 12 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2009.06.028

zbMATH Keywords

metric spacemultivalued operatorcommon fixed pointsHausdorff distance

Mathematics Subject Classification ID

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

Related Items (7)

Common fixed point theorems for \(\alpha-\psi\)-contractive type mappings ⋮ Generalized Nadler type results in ultrametric spaces with applications to well-posedness ⋮ End point theorems of multivalued operators without continuity satisfying hybrid inequality under two different sets of conditions ⋮ Common fixed point of \(g\)-approximative multivalued mapping in ordered partial metric space ⋮ Existence and uniqueness of common fixed points for two multivalued operators in ordered metric spaces ⋮ Multivalued fixed point theorems for generalized contractions and their applications ⋮ Fixed points of multivalued operators in ordered metric spaces with applications

Cites Work

• Hybrid fixed points of multivalued operators in metric spaces with applications
• Two fixed-point theorems for mappings satisfying a general contractive condition of integral type
• Greguš type fixed points for weakly compatible maps
• A fixed point theorem for mappings satisfying a general contractive condition of integral type
• A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type
• Common fixed point theorems for some new generalized contractive type mappings
• Fixed points for mixed monotone multivalued operators in Banach spaces with applications
• A Comparison of Various Definitions of Contractive Mappings
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