Coincidence and common fixed and periodic point theorems in cone metric spaces

DOI10.1016/j.camwa.2010.10.031zbMath1211.54067OpenAlexW2022434995MaRDI QIDQ534955

Seung-Kab Yang, Jong-Sook Bae, Seong-Hoon Cho

Publication date: 10 May 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.10.031

zbMATH Keywords

fixed pointcoincidence pointcone metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (11)

Fixed points of weak \(\alpha\)-contraction type maps ⋮ Fixed point theorems for multivalued maps in cone metric spaces ⋮ Fixed point theorems in complete cone metric spaces over Banach algebras ⋮ Some new fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces ⋮ Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces ⋮ Best proximity coincidence point theorems for generalized non-linear contraction mappings ⋮ Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces ⋮ Fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces ⋮ Unnamed Item ⋮ Coincidence best proximity points for geraghty type proximal cyclic contractions ⋮ \(\alpha\)-\(\psi\)-Geraghty contractions on generalized metric spaces

Cites Work

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• Some new common fixed point theorems under strict contractive conditions
• 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
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• Common fixed point theorems for contractive maps
• Corrections to: On generalizations of the Meir-Keeler type contraction maps
• Common fixed point theorems for some families of maps
• Compatible mapping and common fixed points
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Common fixed points for maps on cone metric space
• Common fixed point theorems under strict contractive conditions in Menger spaces
• COMMON FIXED POINT, BEST APPROXIMATION AND GENERALIZED f-WEAK CONTRACTION MULTIVALUED MAPPING IN p-NORMED SPACES

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