Abstract
This paper introduces new iterations type three steps as multi_ implicit Noor iteration, multi_explicit Noor iteration and multi_Picard S-iteration, and defines a generalized quasi-like contractive mapping in convex metric space. Also, the convergence and stability of it are studied. On the other hand, the multi_ implicit Noor iteration is faster than the multi_explicit Noor iteration and multi_Picard S-iteration
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