Some aspects of the \(n\)-ary orthogonal and \(b_{(\alpha_n, \beta_n)}\)-best approximations of \(b_{(\alpha_n, \beta_n)}\)-hypermetric spaces over Banach algebras

DOI10.1515/dema-2022-0200zbMath1519.54013OpenAlexW4385268475MaRDI QIDQ6165012

Marija V. Paunović, Akbar Dehghan Nezhad, Ana Savić, Stojan Radenović

Publication date: 28 July 2023

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0200

zbMATH Keywords

fixed point\(b_{(\alpha_n, \beta_n)}\)-best approximations\(b_{(\alpha_n, \beta_n)}\)-hypermetric spaces\(b_n\)-metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20)

Cites Work

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• Best proximity points, cyclic Kannan maps and geodesic metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Fixed point theorem for two non-self mappings in cone metric spaces
• A unification of \(G\)-metric, partial metric, and \(b\)-metric spaces
• \(F\)-cone metric spaces over Banach algebra
• A generalization of \(b\)-metric space and some fixed point theorems
• New results in G-best approximation in G-metric spaces
• Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
• A new survey: Cone metric spaces
• Metric Fixed Point Theory
• Generalized n-metric spaces and fixed point theorems

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