| Title:
|
On the minimal displacement of points under mappings (English) |
| Author:
|
Ban, A. I. |
| Author:
|
Gal, S. G. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
273-284 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
New contributions concerning the minimal displacement of points under mappings (defect of fixed point) are obtained. (English) |
| Keyword:
|
fixed point |
| Keyword:
|
minimal displacement |
| Keyword:
|
defect of fixed point |
| Keyword:
|
best almost-fixed point |
| MSC:
|
47H10 |
| MSC:
|
49J40 |
| MSC:
|
49J50 |
| idZBL:
|
Zbl 1068.47069 |
| idMR:
|
MR1942657 |
| . |
| Date available:
|
2008-06-06T22:30:57Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107841 |
| . |
| 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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[5] Ky Fan: Extensions of two fixed point theorems of F.E. Browder.Math. Z. 112 (1969), 234–240. Zbl 0185.39503, MR 0251603 |
| Reference:
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| Reference:
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| Reference:
|
[8] Goebel K.: On the minimal displacement of points under lipschitzian mappings.Pacific J. Math. 48 (1973), 151–163. Zbl 0265.47046, MR 0328708 |
| Reference:
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| Reference:
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[10] Guay M. D., Singh K. L.: Fixed points of asymptotically regular mappings.Math. Vesnik 35 (1983), 101–106. Zbl 0541.54056, MR 0741588 |
| Reference:
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[11] Kelley J. L.: General Topology.Van Nostrand, New York, 1964. MR 0070144 |
| Reference:
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[12] Rădulescu S., Rădulescu M.: Theorems and Problems in Analysis.(in Romanian), Ed. Didactică şi Pedagogică, Bucharest, 1982. |
| Reference:
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[13] Reich S.: Minimal displacement of points under weakly inward pseudo-lipschitzian mappings.I, Atti. Acad. Naz. Linzei Rend. U. Sci. Fis. Mat. Natur. 59 (1975), 40–44. MR 0451058 |
| Reference:
|
[14] Reich S.: Minimal displacement of points under weakly inward pseudo-lipschitzian mappings.II, Atti. Acad. Naz. Linzei Rend. U. Sci. Fis. Mat. Natur. 60 (1976), 95–96. Zbl 0362.47024, MR 0487647 |
| Reference:
|
[15] Rhoades B. E., Sessa S., Khan M. S., Swaleh M.: On fixed points of asymptotically regular mappings.J. Austral. Math. Soc. (Series A) 43 (1987), 328–346. Zbl 0659.54042, MR 0904393 |
| Reference:
|
[16] Rus I. A.: Principles and Applications of Fixed Point Theory.(in Romanian), Ed. Dacia, Cluj-Napoca, 1979. |
| . |
