A class of functions called quasi B s invex and pseudo B s invex functions are introduced by using the concept of symmetric gradient. The examples of quasi B s invex and pseudo B s invex functions are given. The suffi...A class of functions called quasi B s invex and pseudo B s invex functions are introduced by using the concept of symmetric gradient. The examples of quasi B s invex and pseudo B s invex functions are given. The sufficient optimality conditions and Mond Weir type duality results are obtained for a nondifferentiable nonlinear semi infinite programming problem involving quasi B s invex and pseudo B s invex functions.展开更多
基金the Natural Science Foundation of Shaanxi Province and the Science Foundation of Shaanxi Provincial Educational CommitteeP.R.China
文摘A class of functions called quasi B s invex and pseudo B s invex functions are introduced by using the concept of symmetric gradient. The examples of quasi B s invex and pseudo B s invex functions are given. The sufficient optimality conditions and Mond Weir type duality results are obtained for a nondifferentiable nonlinear semi infinite programming problem involving quasi B s invex and pseudo B s invex functions.
基金the Natural Science Foundation of China(Grant No.10471159,No.10171118)the key project of the Chinese Ministry of Education,Supported by Program for New Century Excellent Talents in University,Education Commission project Research Foundation of Chongqing(Grant No.K J060818,KJ060804)+1 种基金the Research Fund for the Doctoral Program of Chongqing Normal University(Grant No.06XLB023)the project supported by Chongqing Key Laboratory of Operations Research and System Engineering.