In this chapter, I provide a modified Ishikawa iteration for a countable family of multi-valued Mappings under the SC- and Condition constraints (A). The optimum approximation operator for the modified Ishikawa iteration in Banach spaces to attain weak and strong convergence. The challenge of identifying a common fixed point for a countable family of I-Nonexpansive multi-valued mappings yielded the following main results.

**Author (S) Details**

**Poonam Lata Prabhakar**

Samrat Ashok Technological Institute, Vidisha, India.

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