Title:
|
Some remarks on functions with values in probabilistic normed spaces (English) |
Author:
|
Goleţ, Ioan |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
|
57 |
Issue:
|
3 |
Year:
|
2007 |
Pages:
|
[259]-270 |
. |
Category:
|
math |
. |
MSC:
|
46S50 |
MSC:
|
54E70 |
idZBL:
|
Zbl 1150.54030 |
idMR:
|
MR2357823 |
. |
Date available:
|
2009-09-25T14:38:24Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136953 |
. |
Reference:
|
[1] ALSINA C.-SCHWEIZER B.-SKLAR A.: On the definition of a probabilistic normed space.Aequationes Math. 46 (1993), 91-98. Zbl 0792.46062, MR 1220724 |
Reference:
|
[2] BANO A.-KHAN A. R.-LADIF A.: Coincidence points and best approximations in p-normed spaces.Rad. Mat. 12 (2003), 27-36. MR 2022244 |
Reference:
|
[3] BHARUCHA-REID A. T.: Random Integral Requations.Academic Press, New York-London, 1972. MR 0443086 |
Reference:
|
[4] CONSTANTIN C.-ISTRATESCU I.: Elements of Probabilistic Analysis.Kluwer Academic Publishers, Dordrecht-Boston-London, 1989. Zbl 0694.60002 |
Reference:
|
[5] GUILLEN B.-LALLENA J.-SEMPI C.: Probabilistic norms for linear operators.J. Math. Anal. Appl. 220 (1998), 462-476. Zbl 0922.47068, MR 1614955 |
Reference:
|
[6] GOLET, L: On contraction in probabilistic metric spaces.Rad. Mat. 13 (2004), 87-92. MR 2111679 |
Reference:
|
[7] HADŽIČ O.: Fixed Point Theory in Topological Vector Spaces.University of Novi Sad, Novi Sad, 1984. Zbl 0576.47030, MR 0789224 |
Reference:
|
[8] HADŽIČ O.-PAP E.: Fixed Point Theory in Probabilistic Metric Spaces.Kluwer Academic Publishers, Dordrecht, 2001. Zbl 0994.47077, MR 1896451 |
Reference:
|
[9] JEBRIL I. H.-ALI R. I. M.: Bounded linear operators on probabilistic normed space.JIPAM. J. Inequal. Pure Appl. Math. 4 (2003), Art. 8. MR 1965988 |
Reference:
|
[10] HICKS T. L.: Random normed linear structures.Math. Japon. 3 (1996), 483-486. Zbl 0868.46059, MR 1422153 |
Reference:
|
[11] KÖTHE C.: Topological Vector Spaces I.Springer-Verlag, Berlin, 1969. |
Reference:
|
[12] MENGER K.: Statistical metrics.Proc. Natl. Acad. Sci. USA 28 (1942), 535-537. Zbl 0063.03886, MR 0007576 |
Reference:
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[13] MUSHTARI D. KH.: On the linearity of isometric mappings of random spaces.Kazan Gos. Univ. Ucen. Zap. 128 (1968), 86-90. MR 0487377 |
Reference:
|
[14] ROLEWICZ S.: Metric Linear Spaces.Kluwer Academic Publishers Group, Dordrecht-Boston-Lancaster, 1984. MR 0802450 |
Reference:
|
[15] SCHWEIZER B.-SKLAR A.: Probabilistic Metric Spaces.North Holland, New York-Amsterdam-Oxford, 1983. Zbl 0546.60010, MR 0790314 |
Reference:
|
[16] SHERSTNEV A. N.: Random normed spaces: Problems of completeness.Kazan Gos Univ. Ucen. Zap. 122 (1962), 3-20. MR 0174032 |
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