| Title:
|
Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions (English) |
| Author:
|
Dhage, B. C. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
265-284 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, some hybrid fixed point theorems for the right monotone increasing multi-valued mappings in ordered Banach spaces are proved via measure of noncompactness and they are further applied to the neutral functional nonconvex differential inclusions involving discontinuous multi-functions for proving the existence results under mixed Lipschitz, compactness and right monotonicity conditions. Our results improve the multi-valued hybrid fixed point theorems of Dhage (Dhage, B. C., A fixed point theorem for multivalued mappings on ordered Banach spaces with applications I, Nonlinear Anal. Forum 10 (2005), 105–126.) under weaker convexity conditions. (English) |
| Keyword:
|
ordered Banach space |
| Keyword:
|
hybrid fixed point theorem |
| Keyword:
|
neutral functional differential inclusion and existence theorem |
| MSC:
|
34A60 |
| MSC:
|
34K40 |
| MSC:
|
47A25 |
| MSC:
|
47H10 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1164.47056 |
| idMR:
|
MR2378527 |
| . |
| Date available:
|
2008-06-06T22:51:35Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108071 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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