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Numerical Reckoning Fixed Points of ( ρE )-Type Mappings in Modular Vector Spaces

Author

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  • Wissam Kassab

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
    Department of Mathematics, International University of Beirut (BIU), 146404 Beirut, Lebanon)

  • Teodor Ţurcanu

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

Abstract

In this paper, we study an iteration process introduced by Thakur et al. for Suzuki mappings in Banach spaces, in the new context of modular vector spaces. We establish existence results for a more recent version of Suzuki generalized non-expansive mappings. The stability and data dependence of the scheme for ρ -contractions is studied as well.

Suggested Citation

  • Wissam Kassab & Teodor Ţurcanu, 2019. "Numerical Reckoning Fixed Points of ( ρE )-Type Mappings in Modular Vector Spaces," Mathematics, MDPI, vol. 7(5), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:390-:d:226897
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    References listed on IDEAS

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    1. Thakur, Balwant Singh & Thakur, Dipti & Postolache, Mihai, 2016. "A new iterative scheme for numerical reckoning fixed points of Suzuki’s generalized nonexpansive mappings," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 147-155.
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    Cited by:

    1. Javid Ali & Faeem Ali & Puneet Kumar, 2019. "Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings," Mathematics, MDPI, vol. 7(6), pages 1-11, June.
    2. Alexander J. Zaslavski, 2023. "Approximate Solutions of a Fixed-Point Problem with an Algorithm Based on Unions of Nonexpansive Mappings," Mathematics, MDPI, vol. 11(6), pages 1-7, March.

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