| Title:
|
On some nonlinear alternatives of Leray-Schauder type and functional integral equations (English) |
| Author:
|
Dhage, Bapurao Chandra |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
11-23 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, some new fixed point theorems concerning the nonlinear alternative of Leray-Schauder type are proved in a Banach algebra. Applications are given to nonlinear functional integral equations in Banach algebras for proving the existence results. Our results of this paper complement the results that appear in Granas et. al. (Granas, A., Guenther, R. B. and Lee, J. W., Some existence principles in the Caratherodony theory of nonlinear differential system, J. Math. Pures Appl. 70 (1991), 153–196.) and Dhage and Regan (Dhage, B. C. and O’Regan, D., A fixed point theorem in Banach algebras with applications to functional integral equations, Funct. Differ. Equ. 7(3-4)(2000), 259–267.). (English) |
| Keyword:
|
Banach algebra |
| Keyword:
|
fixed point theorem |
| Keyword:
|
integral equations |
| MSC:
|
45G10 |
| MSC:
|
47H10 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1164.47357 |
| idMR:
|
MR2227108 |
| . |
| Date available:
|
2008-06-06T22:47:00Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107977 |
| . |
| 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:
|
[10] Dhage B. C., O’Regan D.: A fixed point theorem in Banach algebras with applications to functional integral equations.Funct. Differ. Equ. 7(3-4)(2000), 259–267. Zbl 1040.45003, MR 1940503 |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[14] Ntouyas S. K., Tsamatos P. G.: A fixed point theorem of Krasnoselskii-nonlinear alternative type with applications to functional integral equations.Differential Equations Dynam. Systems 7(2) (1999), 139–146. MR 1860784 |
| Reference:
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| Reference:
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| . |
