Geodesic
The class of functions fulfilling the inequality $\Vert f(x+z)-f(x)-f(y+z)+f(y) \Vert \le \Vert x-y \Vert \omega(\Vert z \Vert)$
Czechoslovak Mathematical Journal, Tome 19 (1969) no. 3, pp. 500-514

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DOI : 10.21136/CMJ.1969.100917
Classification : 46.45 
Vrkoč, Ivo. The class of functions fulfilling the inequality $\Vert f(x+z)-f(x)-f(y+z)+f(y) \Vert \le \Vert x-y \Vert \omega(\Vert z \Vert)$. Czechoslovak Mathematical Journal, Tome 19 (1969) no. 3, pp. 500-514. doi: 10.21136/CMJ.1969.100917
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     zbl = {0186.47602},
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[1] Kurzweil J.: Exponentially Stable Integral Manifolds, Averaging Principle and Continuous Dependence on a Parameter. Czech. Math. J. 16 (91) 1966, 380-432. | MR | Zbl

[2] Yosida K.: Functional Analysis. Springer Verlag, Berlin 1965. | Zbl

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