In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig,...In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig, Hogan, Greenberg, Ying Mei-qian et al.展开更多
R. T. Rockafellar built a new general convex dual theory by introducing the conjugate function and the perturbation function. Following him, many other authors obtained some important results in generalized convex dua...R. T. Rockafellar built a new general convex dual theory by introducing the conjugate function and the perturbation function. Following him, many other authors obtained some important results in generalized convex dual programs and展开更多
基金Project supported by the Science Foundation of the Chinese Academy of Science
文摘In this paper, we provide the stability theorem for the program: inf{f(x,t)|x∈H(t)}, using the'uniformly N-type' functions (also called ε-chainable functions). This theorem generalizes theresults of Dantzig, Hogan, Greenberg, Ying Mei-qian et al.
文摘R. T. Rockafellar built a new general convex dual theory by introducing the conjugate function and the perturbation function. Following him, many other authors obtained some important results in generalized convex dual programs and
