Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces

In this paper, we aimed to introduce a new viscosity-type approximation method for finding the common fixed point of class quasi-pseudocontractive mapping and system monotone inclusion problems in CAT(0) spaces. We proved some fixed-point properties concerning spaces, which is more general than many other mappings such as nonexpansive, quasi-nonexpansive, pseudocontractive demicontractive have been studied by authors. A strong convergence result under mild conditions on control sequences numerical examples were presented illustrate performance efficiency proposed method.