In this paper, we introduce a proximal point algorithm for approximating a common solution of finite family of convex minimization problems and fixed point problems for -demicontractive mappings in complete CAT(0) spaces. We prove a strong convergence result and obtain other consequence results which generalize and extend some recent results in the literature. We further provide a numerical example to illustrate the convergence behaviour of the sequence generated by our algorithm.
The authors acknowledge the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University for making their facilities available for the research. This research was completed in part while the second author was visiting the Federal University of Agriculture Abeokuta, Nigeria, from August to October 2021. The second author thanks the institution for making their facilities available for the research. L.O. Jolaoso is supported by the Postdoctoral Research Funding from the Research Office, Sefako Makgatho Health Sciences University, South Africa.
"Strong Convergence Theorem for Finding a Common Solution of Convex Minimization and Fixed Point Problems in CAT(0) Spaces." Abstr. Appl. Anal. 2022 1 - 11, 2022. https://doi.org/10.1155/2022/2960135