Alpha-\(F\)-convex contraction mappings in \(b\)-metric space and a related fixed point theorem

DOI10.1155/2021/5720558zbMath1476.54066OpenAlexW3203002578MaRDI QIDQ2236560

Kidane Koyas Tola, Solomon Gebregiorgis Teweldemedhin, Kitila Wirtu Geleta

Publication date: 25 October 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5720558

zbMATH Keywords

fixed pointsexistenceuniqueness\(b\)-metric spaces\(\alpha\)-\(\mathbf{F}\)-convex contraction mappings

Mathematics Subject Classification ID

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

Cites Work

• Fixed points of a new type of contractive mappings in complete metric spaces
• Suzuki-type fixed point results in metric type spaces
• Approximate fixed points of generalized convex contractions
• Fixed point theorems for convex contraction mappings on cone metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Approximate fixed point theorems for partial generalized convex contraction mappings in \(\alpha\)-complete metric spaces
• \(F\)-convex contraction via admissible mapping and related fixed point theorems with an application
• On generalized convex contractions of type-2 in b-metric and 2-metric spaces
• Some fixed point theorems for convex contractive mappings in complete metric spaces with applications
• On (α,p)-convex contraction and asymptotic regularity
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