Sufficiency in Multiobjective Programming under Second-orderB- (p,r) -V- type I Functions
Xiaoyan Gao · Journal of Interdisciplinary Mathematics · 2014
In this article, new classes of generalized invex functions, called second-order B - (p, r) - V - type I functions, is intuoduced. The new functions include many well-known classes of generalized invex functions as its subclasses. Further, a class of nondifferentiable multiobjective programming problem is considered where every component of objective and constraint functions contain a term involving the support function of a compact convex set. Based upon the new generalized invexity assumption in the functions involved, several KKT sufficient conditions for weakly efficient solutions and efficient solutions of the multiobjective programming problem are established and proved. This paper will extend notions of convexity and larger the classes of optimization problems.