This paper deals with the convergence analysis of a shrinking approximants for the
computation of a common solution associated with the fixed point problem of η η-demimetric
operator and the generalized split null point problem in Hilbert spaces. The considered
sequence of approximants is a variant of the parallel hybrid shrinking projection algorithm
that converges strongly to the optimal common solution under suitable set of control
conditions. The viability of the approximants with parallel implementation is demonstrated for …