On the approximate solutions of constrained inverse Lipschitz function problems and inverse function theorems |
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Authors: | Qinghai He Fuchun Yang |
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Institution: | Department of Mathematics, Yunnan University, Kunming 650091, PR China |
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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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Keywords: | 49K27 49J52 26B05 |
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