Common Fixed Points of a Countable Family of I-Nonexpansive Multivalued Mappings in Banach Spaces

Poonam Lata Sagar, S.K. Malhotra · American Journal of Applied Mathematics and Statistics · 2014

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.

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