Fixed point theory for generalized contractions in cone metric spaces

DOI10.1016/J.CNSNS.2011.01.016zbMath1244.54091OpenAlexW2068065874MaRDI QIDQ430331

Dumitru Baleanu, Alireza Amini-Harandi, A. P. Farajzadeh

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.01.016

zbMATH Keywords

set-valued mapsfixed pointHausdorff metriccone metric space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Degree theory for nonlinear operators (47H11)

Related Items (7)

Suzuki-type fixed point results in metric type spaces ⋮ Edelstein-Suzuki-type fixed point results in metric and abstract metric spaces ⋮ A modified Ishikawa iteration scheme for b‐enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces ⋮ Fixed point results for \(G^m\)-Meir-Keeler contractive and \(G\)-\(({\alpha},{\psi})\)-Meir-Keeler contractive mappings ⋮ Fixed point theorems in quaternion-valued metric spaces ⋮ Unnamed Item ⋮ New coupled fixed point theorems in cone metric spaces with applications to integral equations and Markov process

Cites Work

• Unnamed Item
• 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
• Some extensions of Banach's contraction principle in complete cone metric spaces
• Three fixed point theorems for generalized contractions with constants in complete metric spaces
• Quasi-contraction on a cone metric space
• Fixed and periodic point results in cone metric spaces
• General Ekeland's variational principle for set-valued mappings.
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Common fixed points for maps on cone metric space
• Multi-valued contraction mappings
• A generalized Banach contraction principle that characterizes metric completeness

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