The development of the unified version mixing maps between arbitrary sets
Composition theorem
Hausdorff topological space
Nonlinear mixing maps
Pietsch Domination theorem
Set theory
The concepts of nonlinear mixed summable families and maps for the spaces that only non-void sets are developed. Several characterizations of the corresponding concepts are achieved and the proof for a general Pietsch Domination-type theorem is established. Furthermore, this work has presented plenty of composition and inclusion results between different classes of mappings in the abstract settings. Finally, a generalized notation of mixing maps and their characteristics are extended to a more general setting.
