| Autor: |
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay |
| Jazyk: |
angličtina |
| Rok vydání: |
2014 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2014, Iss 142,, Pp 1-17 (2014) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
Let T be a set-valued contraction mapping on a general Banach space $\mathcal{B}$. In the first part of this paper we introduce the evolution inclusion $\dot x + x \in Tx$ and study the convergence of solutions to this inclusion toward fixed points of T. Two cases are examined: (i) T has a fixed point $\bar y \in \mathcal{B}$ in the usual sense, i.e., $\bar y = T \bar y$ and (ii) T has a fixed point in the sense of inclusions, i.e., $\bar y \in T \bar y$. In the second part we extend this analysis to the case of set-valued evolution equations taking the form $\dot x + x = Tx$. We also provide some applications to generalized fractal transforms. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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