Strong convergence theorems for strongly monotone mappings in Banach spaces
| Autor: | Aibinu, Mathew O., Mewomo, O. T. |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.5269/bspm.37655 |
| Popis: | Let $E$ be a uniformly smooth and uniformly convex real Banach space and $E^*$ be its dual space. Suppose $A : E\rightarrow E^*$ is bounded, strongly monotone and satisfies the range condition such that $A^{-1}(0)\neq \emptyset$. Inspired by Alber [2], we introduce Lyapunov functions and use the new geometric properties of Banach spaces to show the strong convergence of an iterative algorithm to the solution of $Ax=0$. Comment: 12 pages. Boletim da Sociedade Paranaense de Matematica, (2018) |
| Databáze: | arXiv |
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