A Note on Some Recent Strong Convergence Theorems of Iterative Schemes for Semigroups with Certain Conditions

What is it about?

In this note, suggesting an alternative technique we partially modify and fix the proofs of some recent results focused on the strong convergence theorems of iterative schemes for semigroups including a specific error observed frequently in several papers during the last years. Moreover, it is worth mentioning that there is no new constraint involved in the modification process presented throughout this note.

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Why is it important?

This study is important for future investigations in iterative schemes for semigroups.