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ON SUFFICIENCY AND DUALITY OF SOLUTIONS FOR QUASI B_s-INVEX SEMI-INFINITE PROGRAMMING 被引量:1

ON SUFFICIENCY AND DUALITY OF SOLUTIONS FOR QUASI B_s-INVEX SEMI-INFINITE PROGRAMMING
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摘要 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. 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.
作者 张庆祥
基金 the Natural Science Foundation of Shaanxi Province and the Science Foundation of Shaanxi Provincial Educational Committee P.R.China
关键词 INVEX quasi B s invex and pseudo B s invex sufficient optimality DUALITY semi infinite programming. invex, quasi B s invex and pseudo B s invex, sufficient optimality, duality, semi infinite programming.
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