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In this paper, we propose a viscosity-type algorithm to approximate a common solution of a monotone inclusion problem, a minimization problem and a fixed point problem for an infinitely countable family of(  f  ,  g  ){(f,g)}   -generalized  k -strictly pseudononspreading mappings in aCAT  ⁢   (  0  ){\mathrm{CAT}(0)}    space. We obtain a strong convergence of the proposed algorithm to the aforementioned problems in a completeCAT  ⁢   (  0  ){\mathrm{CAT}(0)}    space. Furthermore, we give an application of our result to a nonlinear Volterra integral equation and a numerical example to support our main result. Our results complement and extend many recent results in literature.

A viscosity-type algorithm for an infinitely countable family of ( f , g )-generalized k -strictly pseudononspreading mappings in CAT(0) spaces