The Properties of W-Concave Function on Convex Metric Space

Abstract

Many researchers have studied convexity such as convex functions, concave functions, convex metric spaces, and W-convex functions. However, there is still another topic that has not been studied, namely W-concave function on convex metric spaces. Therefore, this research examines the W-concave function and its properties. The method used are adapt and modify the definition of concave and W-convex functions also the properties of W-convex function. The W-concave function can be viewed as a generalized of ordinary concave function on normed linear space. Then, the properties of W-concave function are similar to W-convex function, but the forms and conditions used are different.