I am looking for literature recommendations on classical and generalized isotonic mappings of sets. Specifically, I am interested in any scientific and technical literature on this topic that is available in English or Russian (other languages are also acceptable). I am open to both books and articles.

If anyone is knowledgeable in this area, could you suggest where this theory is actively used? Specifically, I am interested in learning about the specific areas of mathematics and algorithms that this theory is used in.

Thank you in advance for any help you can provide.