A remark on some simultaneous functional inequalities in Riesz spaces

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Abstract

We study continuous at a point functions that take values in a Riesz space and satisfy some systems of two simultaneous functional inequalities. In this way we obtain in particular generalizations and extensions of some earlier results of Krassowska, Matkowski, Montel, and Popoviciu.

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Batko, B., & Brzdęk, J. (2014). A remark on some simultaneous functional inequalities in Riesz spaces. In Springer Optimization and Its Applications (Vol. 94, pp. 111–117). Springer International Publishing. https://doi.org/10.1007/978-3-319-06554-0_5

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