INERTIAL EXTRAPOLATION SCHEME FOR SYSTEM OF VARIATIONAL INCLUSIONS USING GENERALIZED YOSIDA AND CAYLEY OPERATORS

The aim of this work is to study a system of variational inclusions involving generalized Yosida and Cayley operators through inertial extrapolation scheme in real Banach space. To obtain faster convergence of the sequences generated by algorithm, we use one inertial extrapolation scheme, although we have established some more iterative schemes. To achieve our goal, we prove an important Lemma ensuring the convergence of sum of two sequences. We provide a numerical example.