Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843656 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 13 Pages |
Abstract
In this paper, we first give a generalized Takahashi’s existence theorem. From the existence theorem, we establish some equivalence relations between generalized Caristi’s fixed point theorems and generalized Ekeland’s variational principles. Some applications to the existence theorems of weak sharp minima and global error bounds for lower semicontinuous functions are also given.
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Authors
Lai-Jiu Lin, Wei-Shih Du,