Amongst various important applications, one important application of nonlinear programming is to maximize or minimize the ratio of two functions, commonly called fractional programming. The characteristics of fractional programming problems have been investigated widely [1, 6, 10] and [13]. In noneconomic situations, fractional programming problems arisen in information theory, stochastic progr...

The convexity theory plays an important role in many aspects of mathematical programming. In recent years, in order to relax convexity assumption, various generalized convexity notions have been obtained. One of them is the concept of ) , ( r p B− invexity defined by T.Antczak [1], which extended the class of B − invex functions with respect toη and b and the classes of ) , ( r p invex function...