| Autor: |
ALWADANI, SALIHAH, BAUSCHKE, HEINZ, XIANFU WANG |
| Předmět: |
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| Zdroj: |
SIAM Journal on Optimization; 2021, Vol. 31 Issue 3, p1926-1946, 21p |
| Abstrakt: |
Using the Attouch-Thera duality, we study the cycles, gap vectors, and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors. A primal-dual framework provides an exact relationship between the cycles and gap vectors. We also introduce the generalized cycle and gap vectors to tackle the case when the classical ones do not exist. Examples are given to illustrate our results. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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