E-convex sets, E-convex functions, and E-convex programming
Journal of Optimization Theory and Applications
On E-convex sets, E-convex functions, and E-convex programming
Journal of Optimization Theory and Applications
| Hi-index | 0.00 |
A class of functions called semi--preinvex functions is defined as a generalization of semi--convex functions. Similarly, the concept of semi--quasiconvex functions is also generalized to semi--prequasiinvex functions. Properties of these proposed classes are studied, and sufficient conditions for a nonempty subset of the -dimensional Euclidean space to be an -convex or -invex set are given. The relationship between semi--preinvex and -preinvex functions are discussed along with results for the corresponding nonlinear programming problems.