On a fixed point for generalized contractions in generalized metric spaces

DOI10.1155/2012/246085zbMath1246.54050OpenAlexW1993329340WikidataQ58696105 ScholiaQ58696105MaRDI QIDQ448641

Ahmed Al-Rawashdeh, Hassen Aydi, Hemant Kumar Nashine, Wasfi A. Shatanawi

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/246085

zbMATH Keywords

generalized metric spacesgeneralized contractions

Mathematics Subject Classification ID

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

Related Items (19)

New fixed point theorems for generalized \(F\)-contractions in complete metric spaces ⋮ Unnamed Item ⋮ Fixed point results on a class of generalized metric spaces ⋮ Fixed points results for \(\alpha\)-admissible mapping of integral type on generalized metric spaces ⋮ Study of Γ-simulation functions, ZΓ-contractions and revisiting the L-contractions ⋮ Fixed points for generalized \((\alpha, \psi)\)-contractions on generalized metric spaces ⋮ A common fixed point theorem for generalised \(F\)-Kannan mapping in metric space with applications ⋮ New fixed point theorems for \(\theta\)-\(\omega\)-contraction on \((\lambda, \mu)\)-generalized metric spaces ⋮ Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations ⋮ Fixed point theorems for \(\mathcal{L}\)-contractions in generalized metric spaces ⋮ Nadler's fixed point theorem in \(\nu\)-generalized metric spaces ⋮ Common fixed point theorems on Branciari metric spaces via simulation functions ⋮ Fixed point theorems for various classes of cyclic mappings ⋮ Fixed point results for \(\{\alpha, \xi\}\)-expansive locally contractive mappings ⋮ Fixed-discs in rectangular metric spaces ⋮ Some noncontractive maps on incomplete metric spaces have also fixed points ⋮ Fixed point results for dualistic contractions with an application ⋮ A survey on interpolative and hybrid contractions ⋮ Unnamed Item

Cites Work

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• Fixed points for \((\psi,\varphi)\)-weakly contractive mappings in generalized metric spaces
• A generalisation of contraction principle in metric spaces
• CONTRACTIONS OVER GENERALIZED METRIC SPACES
• Fixed point theorems by altering distances between the points
• Fixed point of contractive mappings in generalized metric spaces
• KANNAN FIXED POINT THEOREM ON GENERALIZED METRIC SPACES
• POROSITY OF CERTAIN CLASSES OF OPERATORS IN GENERALIZED METRIC SPACES
• ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES

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