Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843993 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
We present a principle of approximate solutions of constrained inverse Lipschitz function problems. As corollaries and applications of the principle, we obtain a result of convergence of an approximate solutions sequence for the constrained problems, a conclusion relating direct and inverse images of upper and lower limits of a sequence of subsets, and several versions of inverse Lipschitz function theorems. Finally we give local uniqueness criteria for solutions to constrained nonlinear problems in finite dimension spaces.
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Authors
Qinghai He, Fuchun Yang,