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Stability Properties for Multi-Valued Contractions in Complete Vector-Valued B -Metric Spaces

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  • Ghiocel Moţ

    (Department of Mathematics and Computer Science, “Aurel Vlaicu” University of Arad, Elena Drăgoi Street no. 2, 310330 Arad, Romania
    These authors contributed equally to this work.)

  • Claudia Luminiţa Mihiţ

    (Department of Mathematics and Computer Science, “Aurel Vlaicu” University of Arad, Elena Drăgoi Street no. 2, 310330 Arad, Romania
    These authors contributed equally to this work.)

Abstract

In this paper, we present some existence and stability results for the fixed point inclusion in the case of multi-valued self contractions, on a complete vector-valued B -metric space. Our main existence result for the fixed point problem extends to the multi-valued setting with a recent result obtained for the single-valued case. Moreover, data dependence on the operator perturbation of the fixed point set and some stability theorems (Ulam–Hyers stability, well-posedness and Ostrowski stability) are proved, in order to have a complete study of the fixed point inclusion.

Suggested Citation

  • Ghiocel Moţ & Claudia Luminiţa Mihiţ, 2025. "Stability Properties for Multi-Valued Contractions in Complete Vector-Valued B -Metric Spaces," Mathematics, MDPI, vol. 13(19), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:19:p:3069-:d:1757445
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