On sufficiency in multiobjective programming involving generalized (G,C,ρ)-type I functions

Abstract

In this paper, a new class of (G,C,ρ)-type I function is introduced so as their generalizations.’ should be replaced by ’functions and their generalizations are introduced. We consider a class of differentiable multiobjective optimization problems and establish sufficient optimality conditions. The results of the paper are more general than those existing in the literature.

Keywords

• multiobjective programming
• (G,C,ρ)-convexity
• efficient solution
• type I functions
• generalized convexity