eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-09-21 6 5 132 135 10.12691/tjant-6-5-2 TJANT2018652 article Şükrü İLGÜN mat.ilgun@hotmail.com 1 Department of Mathematics Education, Faculty of Education, Kafkas University, Kars, Turkey In this study, it was shown that the existence of fixed points of some surface transformations was defined as an example according to the theorems in functional analysis in differential geometry. It was shown that fi real-valued coordinate functions of F triangular space mapping defined from En to Em has a single fixed point, if http://pubs.sciepub.com/tjant/6/5/2/tjant-6-5-2.pdf fixed point triangular mapping triangular space mapping surface transformation