Fixed Points Theorem of a Countable Family of I-Nonexpansive Multivalued Mappings of Modified Iteration in Banach Spaces

Abstract

In this chapter,I introduce a modified Ishikawa iteration for a countable family of multi-valued Mappings under the SC- Conditions and Condition (A). The best approximation operator to obtain weak and strong convergence of the modified Ishikawa iteration in a Banach spaces. Main results to the problem of finding a common fixed point of a countable family of I-Nonexpansive multi-valued mappings.