In this paper, the problem under consideration is multiobjective non-linear fractional
programming problem involving semilocally convex and related functions. We have discussed the
interrelation between the solution sets involving properly efficient solutions of multiobjective
fractional programming and corresponding scalar fractional programming problem. Necessary and
sufficient optimality conditions are obtained for efficient and properly efficient solutions. Some
duality results are established for multiobjective Schaible type dual.
Keywords: Nonlinear Programming, Multi-Objective Fractional Programming, Semilocally Convex
Functions, Pseudoconvex Functions.
P. Bhatnagar. Optimality and Duality for an Efficient Solution of Multiobjective Nonlinear Fractional Programming Problem Involving Semilocally Convex Functions. International Journal of Applied Operational Research 2012; 2 (3) URL: http://ijorlu.liau.ac.ir/article-1-177-en.html