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    Series-Like Iterative Functional Equation for PM Functions
    (IOP Publishing Ltd, 2021) Suresh Kumar, M.; Murugan, V.
    Given a non-empty subset X of the real line and a self map G on X, the functional equation representing G as an infinite linear combination of iterations of a self map g on X is known as the series-like functional equation. The solutions of the series-like functional equation have been studied only for the class of continuous strictly monotone functions. In this paper, we prove the existence of solutions of series-like functional equations for the class of continuous non-monotone functions using characteristic interval. © Published under licence by IOP Publishing Ltd.