In this paper we obtain some inequalities of Ostrowski and Hermite-Hadamard type for Lipschitzian mappings between two Banach spaces. Applications for functions of norms in Banach spaces and functions defined by power series in Banach algebras are provided as well.
"Integral inequalities for Lipschitzian mappings between two Banach spaces and applications." Kodai Math. J. 39 (1) 227 - 251, March 2016. https://doi.org/10.2996/kmj/1458651701