| Title:
|
Furi–Pera fixed point theorems in Banach algebras with applications (English) |
| Author:
|
Djebali, Smaïl |
| Author:
|
Hammache, Karima |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
55-75 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is ${\mathcal D}$-Lipchitzian. The Kuratowski measure of noncompactness is used together with recent fixed point principles. Applications to solving nonlinear functional integral equations are given. Our results complement and improve recent ones in [10], [11], [17]. (English) |
| Keyword:
|
banach algebra |
| Keyword:
|
Furi–Pera condition |
| Keyword:
|
fixed point theorem |
| Keyword:
|
measure of noncompactness |
| Keyword:
|
integral equations |
| MSC:
|
46Hxx |
| MSC:
|
46J10 |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
47H30 |
| MSC:
|
47J25 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1181.47057 |
| idMR:
|
MR2482717 |
| . |
| Date available:
|
2009-08-27T11:25:58Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133404 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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