A fixed point theorem for JS-contraction type mappings with applications to polynomial approximations

DOI10.2298/FIL1715969AzbMath1477.54045OpenAlexW2549848588MaRDI QIDQ5020935

Ishak Altun, Nassir Al Arifi, Mohamed Jleli, Aref Lashin, Bessem Samet

Publication date: 7 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1715969a

zbMATH Keywords

Picard iterationJS-contraction\(q\)-Bernstein-Stancu operatornonlinear \(q\)-Bernstein-Stancu operator

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Approximation by polynomials (41A10) Special maps on metric spaces (54E40) Approximation by positive operators (41A36)

Related Items (5)

Discussion on the fixed point problems with constraint inequalities ⋮ Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings ⋮ Convergence of iterates of q-Bernstein and (p,q)-Bernstein operators and the Kelisky-Rivlin type theorem ⋮ Weak \(\theta\)-contractions and some fixed point results with applications to fractal theory ⋮ Some existence results for a system of nonlinear fractional differential equations

Cites Work

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• Comments on some recent generalization of the Banach contraction principle
• Fixed point theorems of JS-quasi-contractions
• Fixed points of Mizoguchi-Takahashi contraction on a metric space with a graph and applications
• \(q\)-Bernstein polynomials and their iterates.
• Iterates of Bernstein operators, via contraction principle
• A new generalization of the Banach contraction principle
• Chlodowsky-type \(q\)-Bernstein-Stancu-Kantorovich operators
• On a \(q\)-analogue of Stancu operators
• Approximation properties for generalized \(q\)-Bernstein polynomials
• Iterates of Bernstein polynomials
• A generalization of the Bernstein polynomials based on the q-integers
• The contraction principle for mappings on a metric space with a graph
• Quantum calculus

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