Approximating Solutions of Resolvents of Monotone Operators and Convex Functions in Hadamard Spaces
Mapundi K. BandaDepartment of Mathematics and Applied Mathematics , Sefako Makgatho Health Science University , P.O. Box 94 , Pretoria 0204 , South AfricaHammed Anuoluwapo AbassCenter of Research and Innovation , Asia International University , Yangiobod MFY , Gijduvon Street , House 74 , Bukhara , UzbekistanMaggie AphaneDepartment of Mathematics and Applied Mathematics , Sefako Makgatho Health Science University , P.O. Box 94 , Pretoria 0204 , South AfricaS. F. SaidovCenter of Research and Innovation , Asia International University , Yangiobod MFY , Gijduvon Street , House 74 , Bukhara , Uzbekistan
2025en
ABI
Annotatsiya
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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