Strong Convergence Theorems for VariationalInequality Problems and a Countable Family ofTotal Quasi-φ-Asymptotically NonexpansiveNonself Mappings

摘要

In this paper, we introduce an iterative process which convergesstrongly to a common element of solutions of variational inequalityproblems for γ-inverse strongly monotone mappings and common fixedpoints of a countable family of total quasi-φ-asymptotically nonexpansivenonself mappings, and hence obtain related convergence theoremsin Banach spaces.