Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2 4 2014 08 12 Common Fixed Points of a Countable Family of I-Nonexpansive Multivalued Mappings in Banach Spaces 239 243 EN Poonam Lata Sagar Samrat Ashok Technological Institute, Vidisha (M.P.) India S.K. Malhotra AJAMS20142412 10.12691/ajams-2-4-12 2014 04 24 2014 08 01 2014 08 12 In this paper, we introduce a modified Ishikawa iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable family of I-Nonexpansive multi-valued mappings.