Abstract We prove a Hille–Yosida type theorem for relatively uniformly continuous positive
semigroups on vector lattices. We introduce the notions of relatively uniformly continuous …

We define an integral of real-valued functions with respect to a measure that takes its values
in the extended positive cone of a partially ordered vector space E. The monotone …

We define an integral of real-valued functions with respect to a measure that takes its values
in the extended positive cone of a partially ordered vector space E. The monotone …

In this paper, we use some order-theoretic fixed point theorems to study the upper order-
preservation properties of solution mapping for parametric equilibrium problems. In contrast …

In this short note, we consider order convergence in the space of all Banach lattice valued
Bochner integrable functions instead of almost everywhere pointwise convergence to …

In this thesis we introduce and study notions of relatively uniform continuity and strong
continuity with respect to the relatively uniform topology for semigroups of operators on …

On the interval [a, b], we consider the functional differential equation u/(t)= ℓ (u)(t)+ q (t)(1) in
a Banach space (X,∥·∥ X), where ℓ: C ([a, b]; X)→ B ([a, b]; X) is a linear operator and q∈ B …

Gibbs-non-Gibbs transitions and ector- alued integration Page 1 Gibbs-non-Gibbs transitions
and ector- alued integration Zui len, WB an Citation Zui len, WB an. (2016, September 7) …