Optimality conditions and duality in fractional programming involving semilocally preinvex and related functions
Ion M. Stancu-Minasian · Journal of Information and Optimization Sciences · 2002
In this paper, a nonlinear fractional programming problem is considered, where the functions involved are η-semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using concepts of semilocally preinvex, semilocally quasi-preinvex and semilocally pseudo-preinvex functions. Our results generalize the results obtained by Lyall, Suneja and Aggarwal [8].