The main purpose of this paper is to introduce a new mapping given by a finite family of generalized strictly pseudononspreading mappings. Also, we introduce a viscosity-type proximal point algorithm and prove its strong convergence to a common solution of a finite family of monotone inclusion problems and fixed point problem for the new mapping in a complete CAT(0) space. A numerical experiment is presented to illustrate the performance of our method as well as comparing it with some related methods in the literature. Our numerical experiment shows that our algorithm converges faster than that proposed by Takahashi and Shimoji (Math Comput Model 32:1463–1471, 2000) and Ugwunnadi et al. (Afr Mat 30(1–2):151–169, 2019).
- CAT(0) spaces
- Generalized strictly pseudononspreading mapping
- Monotone operators
- Strong convergence