Compatible and weakly compatible mappings in cone metric spaces

DOI10.1016/j.mcm.2010.06.043zbMath1205.54041OpenAlexW2021556380MaRDI QIDQ623083

Slobodanka Janković, Stojan Radenović, Zorana Golubović

Publication date: 13 February 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.06.043

zbMATH Keywords

common fixed pointcone metric spaceweakly compatiblecompatible mapsnormal and non-normal cones

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (12)

Unnamed Item ⋮ Some fixed and coincidence point theorems for expansive maps in cone metric spaces ⋮ Common fixed point under contractive condition of Ćirić's type on cone metric type spaces ⋮ Ascoli-type theorems in the cone metric space setting ⋮ Some coincidence point results in cone metric spaces ⋮ A note on tvs-cone metric fixed point theory ⋮ A note on Stone's, Baire's, Ky Fan's and Dugundji's theorem in tvs-cone metric spaces ⋮ On cone metric spaces: a survey ⋮ Common fixed point theorems for generalized contractive mappings with applications ⋮ Common fixed point theorems involving two pairs of weakly compatible mappings in \(K\)-metric spaces ⋮ Common fixed point theorems for four mappings on cone metric type space ⋮ Common property (E.A) and existence of fixed points in Menger spaces

Cites Work

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• A fixed point theorem in Menger space through weak compatibility
• Common fixed point theorems for families of weakly compatible maps
• Common fixed points under contractive conditions in cone metric spaces
• Quasi-contraction on a cone metric space
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• Strict contractive conditions and common fixed point theorems in cone metric spaces
• An order on subsets of cone metric spaces and fixed points of set-valued contractions
• Assad-Kirk-type fixed point theorems for a pair of nonself mappings on cone metric spaces
• Remarks on ``Quasi-contraction on a cone metric space
• Common fixed points of noncommuting mappings
• Fixed points for set valued functions without continuity
• Compatible mapping and common fixed points
• Cone metric spaces and fixed point theorems in diametrically contractive mappings
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• A common fixed point theorem of compatible maps in Menger space
• Common fixed points for maps on cone metric space

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