Fixed Point of Multifunctions on Cone Metric Spaces

DOI10.1080/01630560903123346zbMath1171.54033OpenAlexW2124701661MaRDI QIDQ3184204

Shahram Rezapour, Robab Hamlbarani Haghi

Publication date: 13 October 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903123346

zbMATH Keywords

fixed pointmultifunctioncone metric spacecone topology

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (25)

Common fixed point theorems for generalized multivalued contractions on cone metric spaces over a non-normal solid cone ⋮ Fixed point and common fixed point theorems on ordered cone metric spaces ⋮ Quasicone metric spaces and generalizations of Caristi Kirk's theorem ⋮ Fixed point theorems of generalized contraction mappings on \(\varpi\)-cone metric spaces over Banach algebras ⋮ Some common fixed point theorems on complex valued metric spaces ⋮ Unnamed Item ⋮ On set-valued contractions of Nadler type in tvs-\(G\)-cone metric spaces ⋮ Unnamed Item ⋮ Fixed point theorems for set-valued contractions ⋮ Ordered cone metric spaces and fixed point results ⋮ Fixed point theorems for convex contraction mappings on cone metric spaces ⋮ Common fixed point theorems of the asymptotic sequences in ordered cone metric spaces ⋮ On cone metric spaces: a survey ⋮ The existence of cone critical point and common fixed point with applications ⋮ Fixed points and endpoints of set-valued contractions in cone metric spaces ⋮ A simple proof of Olatinwo's theorems ⋮ Order Norm Completions of Cone Metric Spaces ⋮ Multivalued fixed point theorems in tvs-cone metric spaces ⋮ A note on \(tvs-G\)-cone metric fixed point theory ⋮ Some fixed point theorems for expansion onto mappings on cone metric spaces ⋮ Some results on fixed points of multifunctions on abstract metric spaces ⋮ New common fixed point theorems for maps on cone metric spaces ⋮ Coupled fixed point theorems for some type of contraction mappings in \(b\)-cone and \(b\)-theta cone metric spaces ⋮ Fixed points of generalized \(\alpha \)-\(\psi \)-contractions ⋮ Some coupled fixed point theorems in cone metric spaces

Cites Work

• Contractive multifunctions, fixed point inclusions and iterated multifunction systems
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• On a fixed point theorem of Ky Fan
• Multi-valued contraction mappings in generalized metric spaces

This page was built for publication: Fixed Point of Multifunctions on Cone Metric Spaces