On orthogonal sets and banach fixed point theorem

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Abstract

We introduce the notion of the orthogonal sets and give a real generalization of Banach’ fixed point theorem. As an application, we find the existence of solution for a first-order ordinary differential equation.

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Gordji, M. E., Rameani, M., De La Sen, M., & Je Cho, Y. (2017). On orthogonal sets and banach fixed point theorem. Fixed Point Theory and Applications, 18(2), 569–578. https://doi.org/10.24193/fpt-ro.2017.2.45

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