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Sufficient conditions for weak continuity and weak virtual stability in banach spaces |
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| รหัสดีโอไอ | |
| Title | Sufficient conditions for weak continuity and weak virtual stability in banach spaces |
| Creator | Sittichoke Songsa-ard |
| Contributor | Phichet Chaoha |
| Publisher | Chulalongkorn University |
| Publication Year | 2552 |
| Keyword | Banach spaces, Sufficient conditions |
| Abstract | We give some conditions that guarantee the weak continuity and the weak virtual stability for mappings in Banach spaces by introducing the notions of functionally lipschitzian mappings and functionally uniformly lipschitzian mappings. We also show that, for finite-dimensional Banach spaces, functionally (uniformly) lipschitzian and (uniformly) lipschitzian conditions are equivalent. Some criteria for being functionally (uniformly) lipschitzian in infinite-dimensional Banach spaces are also given |
| URL Website | cuir.car.chula.ac.th |
