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Convergence of set-valued mappings: Equi-outer semicontinuity
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bagh, Adib Wets, Roger J.-B. |
| Copyright Year | 1996 |
| Abstract | The concept of equi-outer semicontinuity allows us to relate the pointwise and the graphical convergence of set-valued-mappings. One of the main results is a compactness criterion that extends the classical Arzelà-Ascolì theorem for continuous functions to this new setting; it also leads to the exploration of the notion of continuous convergence. Equi-lower semicontinuity of functions is related to the outer semicontinuity of epigraphical mappings. Finally, some examples involving set-valued mappings are re-examined in terms of the concepts introduced here. |
| Starting Page | 333 |
| Ending Page | 360 |
| Page Count | 28 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF00436110 |
| Alternate Webpage(s) | https://www.math.ucdavis.edu/~rjbw/mypage/Variational_Analysis_files/BghW96.pdf |
| Alternate Webpage(s) | http://math.ucdavis.edu/~rjbw/ARTICLES/osc.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/BF00436110 |
| Volume Number | 4 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
