Exciting fixed point results on a novel space with supportive applications

DOI10.1155/2021/6613774zbMath1458.54040OpenAlexW3124800159MaRDI QIDQ2228049

Yanyan Li

Publication date: 16 February 2021

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

Full work available at URL: https://doi.org/10.1155/2021/6613774

zbMATH Keywords

common fixed point resultsAtangana-Baleanu fractional integralcomplex valued controlled rectangular \(b\)-metric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of operator theory to differential and integral equations (47N20) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

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On fuzzy b-metric-like spaces ⋮ An extension of the Picard theorem to fractional differential equations with a Caputo-Fabrizio derivative ⋮ Results on fixed circles and discs for \(L_{(\omega,C)}\)-contractions and related applications ⋮ Developments of some new results that weaken certain conditions of fractional type differential equations ⋮ On pairs of fuzzy dominated mappings and applications ⋮ Infinite Geraghty type extensions and their applications on integral equations ⋮ Fuzzy fixed point results of generalized almost \(\mathbf{F}\)-contractions in controlled metric spaces ⋮ Some variants of Wardowski fixed point theorem ⋮ A strong convergence to a common fixed point of a subfamily of a nonexpansive evolution family of bounded linear operators on a Hilbert space ⋮ Global optimization and applications to a variational inequality problem ⋮ Unique fixed-point results in fuzzy metric spaces with an application to Fredholm integral equations ⋮ Admissible hybrid \(\mathscr{Z}\)-contractions in extended \(b\)-metric spaces ⋮ Numerical solution of fractional model of HIV-1 infection in framework of different fractional derivatives

Cites Work

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• Complex valued rectangular b-metric spaces and an application to linear equations
• A complex analysis approach to Atangana–Baleanu fractional calculus
• Fixed point theorems in complex valued extended \(b\)-metric spaces

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