Fixed point theorem for cyclic Chatterjea type contractions

DOI10.1155/2012/165698zbMath1251.54049OpenAlexW2003818225WikidataQ58905799 ScholiaQ58905799MaRDI QIDQ1760570

Hemant Kumar Nashine, Erdal Karapınar

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/165698

zbMATH Keywords

metric spacesgeneralized cyclic weakly Chatterjea type contraction

Mathematics Subject Classification ID

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

Related Items (8)

Cyclic contractions and fixed point results via control functions on partial metric spaces ⋮ Cyclic \(G\)-\(\Omega \)-weak contraction-weak nonexpansive mappings and some fixed point theorems in metric spaces ⋮ A study on common fixed point of joint \((A; B)\) generalized cyclic \(\phi\)-\(abc\) weak nonexpansive mappings and generalized cyclic \(abc;r\) contractions in quasi metric spaces ⋮ The existence of best proximity points for generalized cyclic quasi-contractions in metric spaces with the UC and ultrametric properties ⋮ Unnamed Item ⋮ Cyclic (\(\phi\))-contractions in uniform spaces and related fixed point results ⋮ Existence of a solution of integral equations via fixed point theorem ⋮ Best proximity points of generalized semicyclic impulsive self-mappings: applications to impulsive differential and difference equations

Cites Work

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• Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces
• Equivalent conditions for generalized contractions on (ordered) metric spaces
• Best proximity point theorems for cyclic orbital Meir-Keeler contraction maps
• Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
• Monotone generalized nonlinear contractions in partially ordered metric spaces
• Fixed point theory for cyclic weak \(\phi\)-contraction
• A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions
• New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions
• Best proximity point theorems for weak cyclic Kannan contractions

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