Supremum Image of Lower Semi-Continuous Function From Above Lalu Riski Wirendra Putra(a*), Umar Abdullah(a), Dastin Rangga Berani(a), Qurratul Aini(a)
a)Department of Mathematics, Faculty of Mathematics and Natural Science,Mataram University, Jalan Majapahit 62, Mataram 83115, Indonesia.
*laluriski04[at]gmail.com
Abstract
In Mathematics, one of the basic properties of the function that need to be known is the existence of the supremum value of the function image. In applied mathematics, supremum value of image function is used to determine a maximum value of the function. In the case of continuous function, the existence of supremum is assured by several assumptions, one of which is the function domain which is closed set and the function is bounded function. In some cases, the continuous function is not used, but rather the weaker function, i.e. lower semi-continuous function from above. In this paper, we want to know the properties that ensure the existence of supremum of the image of lower semo-continuous function from above.
Keywords: Supremum, Image, Lower Semi-Continuous Function
