Abstract metric spaces and Hardy-Rogers-type theorems

DOI10.1016/j.aml.2010.11.012zbMath1206.54058OpenAlexW2049793359MaRDI QIDQ617032

Slobodan Radojević, Stojan Radenović, Ljiljana Paunović

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.2010.11.012

zbMATH Keywords

symmetric spacecommon fixed pointcoincidence pointcone metric spacenormal and nonnormal cone

Mathematics Subject Classification ID

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

Related Items (4)

Coupled fixed-point results for \(T\)-contractions on cone metric spaces with applications ⋮ Approximate fixed points of generalized convex contractions ⋮ Fixed point results for multivalued hardy-rogers contractions in b-metric spaces ⋮ Quadrupled fixed point results in abstract metric spaces

Cites Work

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• Abstract metric spaces and Sehgal-Guseman-type theorems
• Equivalent contractive conditions in symmetric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Common fixed points under contractive conditions in cone metric spaces
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• Strict contractive conditions and common fixed point theorems in cone metric spaces
• Some generalizations of fixed point theorems in cone metric spaces
• Cone metric spaces and fixed point theorems in diametrically contractive mappings
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Common fixed points for maps on cone metric space
• On Fixed and Periodic Points Under Contractive Mappings
• Fixed point theory in symmetric spaces with applications to probabilistic spaces
• A Generalization of a Fixed Point Theorem of Reich

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