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- W79588614 abstract "In this paper, we consider the nonlinear programming problem P to minimize f(x) subject to g i (x)<=0 for i=1, …, m and x∈X. If X is compact and the number of global optimal solutions is finite, under a suitable constraint qualification, we show that a globally exact penalty function exists. Particularly, we establish a one to one correspondence between global optimal solutions to the original problem and global minimizers of the penalty problem for a sufficiently large, but finite, penalty parameter. A lower bound on the penalty parameter is provided in terms of the Kuhn-Tucker Lagrangian multipliers and lower bounds on the functions involved." @default.
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- W79588614 date "1982-01-01" @default.
- W79588614 modified "2023-09-26" @default.
- W79588614 title "Sufficient conditions for a globally exact penalty function without convexity" @default.
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- W79588614 doi "https://doi.org/10.1007/bfb0120980" @default.
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