On properties of geodesic semilocal E-preinvex functions
The authors define a class of functions on Riemannian manifolds, which are calledgeodesic semilocal E-preinvex functions, as a generalization of geodesic semilocalE-convex and geodesic semi E-preinvex functions, and some of its properties areestablished. Furthermore, a nonlinear fractional multiobje...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer Open
2018
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/75128/ http://psasir.upm.edu.my/id/eprint/75128/1/On%20properties%20of%20geodesic%20semilocal.pdf |
| Summary: | The authors define a class of functions on Riemannian manifolds, which are calledgeodesic semilocal E-preinvex functions, as a generalization of geodesic semilocalE-convex and geodesic semi E-preinvex functions, and some of its properties areestablished. Furthermore, a nonlinear fractional multiobjective programming isconsidered, where the functions involved are geodesic E-η-semidifferentiability,sufficient optimality conditions are obtained. A dual is formulated and duality resultsare proved by using concepts of geodesic semilocal E-preinvex functions, geodesicpseudo-semilocal E-preinvex functions, and geodesic quasi-semilocal E-preinvexfunctions. |
|---|