Sentence examples for proved a generalization of from inspiring English sources

Aoki [3] proved a generalization of Hyers' theorem for additive mappings and Rassias [4] proved a generalization of Hyers' theorem for linear mappings.

In 1978, Rassias [39] proved a generalization of Hyers' theorem for additive mappings.

In 1978, Rassias [25] proved a generalization of Hyers's theorem for additive mappings.

In [3], Rassias proved a generalization of the Hyers' theorem for additive mappings.

M. Rassias [24] proved a generalization of Hyres' theorem for additive mappings.

Recently, Kikkawa and Suzuki proved a generalization of Kannan's fixed point theorem.

In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces.

We also prove a generalization of the Unitary Extension Principle for an infinite number of generators.

Motivated by the work in [13 15], firstly, we will prove a generalization of the identity given by Zhu et al. using generalized fractional integral operators.

We prove a generalization of the Strong Szegö Limit Theorem for Zoll type operators on smooth compact closed manifolds.

Pearson's trace theorem is carried over to the case of unbounded identification operator and the extended version is used to prove a generalization of Ismgilove multichannel scattering theorem.