Some fixed point theorems for pseudo ordered sets

• Дата: 2018
• Автори: Bhatta, S. Parameshwara, George, Shiju
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: pseudo ordered set; trellis; completeness; isotone map; 06B05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/657
• Назва журналу: Algebra and Discrete Mathematics

In this paper, it is shown that for an isotone map \(f\) on a pseudo ordered set \(A\), the set of all fixed points of \(f\) inherits the properties of \(A\), namely, completeness, chain-completeness and weakly chain-completeness, as in the case of posets.