Periodic points for the weak contraction mappings in complete generalized metric spaces

DOI10.1186/1687-1812-2012-79zbMath1457.54033OpenAlexW2171070819WikidataQ59289634 ScholiaQ59289634MaRDI QIDQ372095

Chao-Hung Chen, Chi-Ming Chen

Publication date: 11 October 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-79

zbMATH Keywords

periodic point\((\phi - \varphi)\)-weak contraction mapping\((\psi-\varphi)\)-weak contraction mappingMeir-Keeler function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (9)

Fixed point results on a class of generalized metric spaces ⋮ Some common fixed point results in rectangular metric spaces ⋮ On a theorem of Khan in a generalized metric space ⋮ Fixed points results for \(\alpha\)-admissible mapping of integral type on generalized metric spaces ⋮ Fixed points for generalized \((\alpha, \psi)\)-contractions on generalized metric spaces ⋮ On (α,ψ) Contractions of Integral Type on Generalized Metric Spaces ⋮ Discussion on \(\alpha\)-\(\psi\) contractions on generalized metric spaces ⋮ On weak contractive cyclic maps in generalized metric spaces and some related results on best proximity points and fixed points ⋮ \(\alpha\)-\(\psi\)-Geraghty contractions on generalized metric spaces

Cites Work

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• Fixed points for \((\psi,\varphi)\)-weakly contractive mappings in generalized metric spaces
• Existence and convergence of best proximity points
• Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings
• Coupled fixed point results for \((\psi,\phi)\)-weakly contractive condition in ordered partial metric spaces
• A theorem on contraction mappings
• KANNAN FIXED POINT THEOREM ON GENERALIZED METRIC SPACES
• ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES
• On Nonlinear Contractions

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