Approximating Solutions of Resolvents of Monotone Operators and Convex Functions in Hadamard Spaces

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DOI: https://doi.org/10.28924/2291-8639-23-2025-185
Published: Aug 1, 2025
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M. D. Banda, H. A. Abass, M. Aphane, S. F. Saidov, Approximating Solutions of Resolvents of Monotone Operators and Convex Functions in Hadamard Spaces, Int. J. Anal. Appl., 23 (2025), 185.

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M. D. Banda, H. A. Abass, M. Aphane, S. F. Saidov

Abstract

In this paper, we study the products of finitely many resolvents of monotone operators and convex functions in the settings of Hadamard space. We propose an iterative method for finding products of finitely many resolvents of monotone operators, convex functions and fixed points of k-strictly pseudocontractive mappings. A strong convergence result of our proposed algorithm was established without imposing any strict conditions on our operators. We provide some consequences of our result and display a numerical example to illustrate the performance of our result. Our result complements and extends some related results in the literature.

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