The fixed point and Mann iterative of a kind of higher order singular Teodorescu operator

DOI10.1080/17476933.2015.1041110zbMath1327.30060OpenAlexW1942748389MaRDI QIDQ3455409

Heju Yang, Xiang-Hui Zhao

Publication date: 4 December 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1041110

zbMATH Keywords

Clifford algebraTeodorescu operator, singular integral operator

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

Some properties of a T operator with B-m kernel in the complex Clifford analysis ⋮ Some properties of T-operator with bihypermonogenic kernel in Clifford analysis ⋮ A new Cauchy integral formula in the complex Clifford analysis

Cites Work

• Normalized system for the super Laplace operator
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Function theory for Laplace and Dirac-Hodge operators in hyperbolic space
• Some topics in Clifford analysis
• Poincaré–Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis
• A class of hyperbolic operators with double involutive characteristics of fuchsian type
• Vekua theory in higher dimensional complex spaces: the II-operator in

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