Multiobjective Fractional Symmetric Duality in Mathematical Programming with (<i>C</i>,<i>G_f</i>)-Invexity Assumptions

Abstract

In this paper, a new class of ( C , G f ) -invex functions introduce and give nontrivial numerical examples which justify exist such type of functions. Also, we construct generalized convexity definitions (such as, ( F , G f ) -invexity, C-convex etc.). We consider Mond−Weir type fractional symmetric dual programs and derive duality results under ( C , G f ) -invexity assumptions. Our results generalize several known results in the literature.

Keywords

• symmetric duality
• multiobjective
• fractional programming
• (<i>C</i>,<i>G_f</i>)-invexity