COMMON SOLUTION OF A COMBINATION OF SPLIT GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEMS AND A FAMILY OF GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

We suggest and analyze an iterative method to approximate a common solution of a combination of split general variational-like inequality problems and a common fixed point problem for a family of generalized asymptotically nonexpansive nonself mappings by using a specific way of choosing the indexes of the involved mappings. Further, we prove that sequences generated by the proposed iterative algorithm converge strongly to a common solution of these problems. The results presented in this paper generalize and unify some known related results in the literature.