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New α-coupled fixed point theorem for 𝜃-contraction and its application to a class of systems of functional equations arising in dynamic programming

    https://doi.org/10.1142/S1793557120500631Cited by:0 (Source: Crossref)

    We introduce α-coupled fixed point for 𝜃-contractions in the space of bounded functions on a set S. As an application of our result, we prove the existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.

    Communicated by B. K. Dass

    AMSC: 47H10, 37C25, 54H25, 55M20