| Autor: |
SENE, M., NDIAYE, M., DJITTE, N. |
| Předmět: |
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| Zdroj: |
Creative Mathematics & Informatics; 2022, Vol. 31 Issue 1, p109-120, 12p |
| Abstrakt: |
For q > 1, let E be a q-uniformly smooth real Banach space with dual space E Let A : E → E be a Lipschitz and strongly monotone mapping such that A-1(0) = For given x1 E, let {xn} be generated iteratively by the algorithm ... where J is the normalized duality mapping from E into E and λ is a positive real number choosen in a suitable interval. Then it is proved that the sequence {xn} converges strongly to x, the unique point of A-1(0). Our theorems are applied to the convex minimization problem. Futhermore, our technique of proof is of independent interest. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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