Abstract:
The aim of this paper is to introduce a modified viscosity iterative method to approximate
a solution of the split variational inclusion problem and fixed point problem for a uniformly
continuous multivalued total asymptotically strictly pseudocontractive mapping in CAT(0) spaces.
A strong convergence theorem for the above problem is established and several important known
results are deduced as corollaries to it. Furthermore, we solve a split Hammerstein integral inclusion
problem and fixed point problem as an application to validate our result. It seems that our main
result in the split variational inclusion problem is new in the setting of CAT(0) spaces.
