%0 Journal Article
%T Characterizations of the Solution Set for a Class of ¦Ç pseudolinear Programming
%A CHEN Lin
%A LONG Pu-jun
%J Journal of Chongqing Normal University
%D 2013
%I Chongqing Normal University
%X Convexity and the generalized convexity play a very important role in mathematical economic£¬engineering£¬management science and optimization theory.This paper is concerned with the properties and characterizations of solution sets for a class of nonlinear optimizations under the invexity and generalized invexity.In this paper£¬we focus on the characterizations of solution sets for ¦Ç pseudolinear programming by the Dini upper directional derivative and Lagrange multiplier.First£¬some properties are given for the nondifferentiable pseudolinear programming with constraints under the Dini upper directional derivative.And in certain conditions£¬the optimal solution set and feasible set is invex for such problems.Finally£¬some characterizations of the solution set are proved via the Dini upper directional derivative and Lagrange multiplier.
%K ¦Ç pseudolinear programming£»Dini upper directional derivative£»characterizations of the solution set£»Lagrange multiplier
%U http://journal.cqnu.edu.cn/1301/pdf/130107.pdf