scientific article; zbMATH DE number 7535225

zbMath1491.54103MaRDI QIDQ5080885

Kyung Soo Kim

Publication date: 31 May 2022

Full work available at URL: http://nfaa.kyungnam.ac.kr/journal-nfaa/index.php/NFAA/article/view/1555

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fixed pointcyclic contractionbest proximity problemcyclic generalized \(\varphi \)-weak contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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• Fixed point theory for cyclic generalized contractions in partial metric spaces
• Best proximity point theorems for cyclic orbital Meir-Keeler contraction maps
• Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
• Existence and convergence of best proximity points
• Best proximity points of cyclic \(\varphi\)-contractions on reflexive Banach spaces
• Convergence and existence results for best proximity points
• Convergence and stability of generalized \(\varphi\)-weak contraction mapping in \(CAT(0)\) spaces
• Fixed point theory for cyclic \(\varphi\)-contractions
• Fixed point theorems by altering distances between the points

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