Properties of Geodesic Semilocal E-B-preinvex Functions and Applications in Multiobjective Fractional Programming Problems

摘要

In this paper, we introduce the concept of geodesic semilocal E-B-preinvex functions on Riemannian manifolds and discuss some of its properties. Further, we establish sufficient optimality conditions and duality theorems for nonlinear multiobjective fractional programming problems.