Optimality and Duality in Fractional Programming Involving Semilocally Convex and Related Functions

Abstract

Necessary and sufficient optimality conditions are obtained for a nonlinear fractional programming problem involving semidifferentiable functions introduced by Ewing, Kaul and Kaur. A dual is formulated and duality results are proved using concepts of semilocally quasiconvex and semilocally pseudoconvex functions. An equivalent program using generalized Charnes Cooper transformation is given

Keywords:

• Generalized Convexity
• Nonlinear Programming
• Optimality
• Duality