Applications of Several Minimum Principles

In our previous works, a Metatheorem in ordered fixed point theory showed that certain maximum principles 
can be reformulated to various types of fixed point theorems for progressive maps and conversely. Therefore, 
there should be the dual principles related to minimality, anti-progressive maps, and others. In the present 
article, we derive several minimum principles particular to Metatheorem and their applications. One of 
such applications is the Brøndsted-Jachymski Principle. We show that known examples due to Zorn (1935), 
Kasahara (1976), Brézis-Browder (1976), Taskovi¢ (1989), Zhong (1997), Khamsi (2009), Cobzas (2011) and 
others can be improved and strengthened by our new minimum principles.