eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2014-08-12 2 4 239 243 10.12691/ajams-2-4-12 AJAMS20142412 article Common Fixed Points of a Countable Family of I-Nonexpansive Multivalued Mappings in Banach Spaces Poonam Lata Sagar poonamlata.sagar@gmail.com 1 S.K. Malhotra 2 Samrat Ashok Technological Institute, Vidisha (M.P.) India M.P. Professional Board of Examination, Bhopal (M.P.) India 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. http://pubs.sciepub.com/ajams/2/4/12/ajams-2-4-12.pdf I-Nonexpansive multi-valued mapping fixed point weak convergence strong convergence Banach space Ishikawa iteration