On Some Vector-Valued Inequalities of Gronwall Type

الملخص EN

In this paper we established some vector-valued inequalities of Gronwall type in ordered Banach spaces.

Our results can be applied to investigate systems of real-valued Gronwall-type inequalities.

We also show that the classical Gronwall-Bellman-Bihari integral inequality can be generalized from composition operators to a variety of operators, which include integral operators, maximal operators, geometric mean operators, and geometric maximal operators.