- - - University of Belgrade, Faculty of Mathematics, Studentski trg ۱۶, ۱۱۰۰۰ Beograd, Serbia
- - - Faculty of Mathematics and Information Technology Teacher Education, Dong Thap University, Cao Lanch City, Dong Thap Province, Viet Nam

In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. ۲۸, ۲ (۲۰۱۲), ۲۰۷--۲۱۴] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. ۲۱, ۲ (۲۰۱۲), ۱۳۵--۱۴۲] are generalized and improved, with much shorter proofs. Also, examples are given to support these improvements.

Tripled coincidence point, g-monotone property, partially ordered set