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Nonlinear Operators as Concerns Convex Programming and Applied to Signal Processing

Author

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  • Anantachai Padcharoen

    (Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University, Chanthaburi 22000, Thailand)

  • Pakeeta Sukprasert

    (Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani 12110, Thailand)

Abstract

Splitting methods have received a lot of attention lately because many nonlinear problems that arise in the areas used, such as signal processing and image restoration, are modeled in mathematics as a nonlinear equation, and this operator is decomposed as the sum of two nonlinear operators. Most investigations about the methods of separation are carried out in the Hilbert spaces. This work develops an iterative scheme in Banach spaces. We prove the convergence theorem of our iterative scheme, applications in common zeros of accretive operators, convexly constrained least square problem, convex minimization problem and signal processing.

Suggested Citation

  • Anantachai Padcharoen & Pakeeta Sukprasert, 2019. "Nonlinear Operators as Concerns Convex Programming and Applied to Signal Processing," Mathematics, MDPI, vol. 7(9), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:866-:d:268708
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    Cited by:

    1. Konrawut Khammahawong & Parin Chaipunya & Kamonrat Sombut, 2022. "Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications," Mathematics, MDPI, vol. 10(21), pages 1-20, November.

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