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Product of Resolvents on Hadamard Manifolds

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Abstract

The aim of this paper is to study the product of resolvents of a finite number of monotone vector fields on a Hadamard manifold to approximate both the singular points of their sum and a common singular point among them. For the sum of any finitely many maximal monotone vector fields, with some suitable assumptions, it is proved that the obtained sequence of the iterative method is convergent. The paper ends with some examples and applications.

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Acknowledgements

The authors are grateful to the referee for valuable suggestions leading to the improvement of the paper.

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The authors have no relevant financial or non-financial interests to disclose.

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Authors and Affiliations

  1. Department of Mathematics, University of Zanjan, University blvd., Zanjan, Iran

    Fatemeh Ahmadi, Parviz Ahmadi & Hadi Khatibzadeh

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  1. Fatemeh Ahmadi
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  2. Parviz Ahmadi
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  3. Hadi Khatibzadeh
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Contributions

F. Ahmadi, P. Ahmadi and H. Khatibzadeh wrote the whole manuscript. All authors discussed the results and contributed to the final manuscript.

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Correspondence to Parviz Ahmadi.

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Ahmadi, F., Ahmadi, P. & Khatibzadeh, H. Product of Resolvents on Hadamard Manifolds. Mediterr. J. Math. 21, 79 (2024). https://doi.org/10.1007/s00009-024-02622-3

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  • DOI: https://doi.org/10.1007/s00009-024-02622-3

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