Quasi-metric hyper dynamical systems

We start this paper by introducing the concept of quasi-metric hyper -groups. We show that the product of two quasi-metric hypergroups is a quasi-metric hypergroup. Quasi-metric hyperdynamical systems are defined, and a method for con-structing quasi-metric hyperdynamical systems via two given quasi-metric hyperdynamical systems, is deduced. Attracting sets for quasi-metric hyperdynamical systems are considered. A method for constructing quasi-metric hyperdynamical systems with at-tracting sets via two given quasi-metric hyperdynamical systems with attracting sets, is presented.