Characterizations of random approximations

Abdul Rahim Khan; Nawab Hussain

Archivum Mathematicum (2003)

  • Volume: 039, Issue: 4, page 271-275
  • ISSN: 0044-8753

Abstract

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Some characterizations of random approximations are obtained in a locally convex space through duality theory.

How to cite

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Khan, Abdul Rahim, and Hussain, Nawab. "Characterizations of random approximations." Archivum Mathematicum 039.4 (2003): 271-275. <http://eudml.org/doc/249119>.

@article{Khan2003,
abstract = {Some characterizations of random approximations are obtained in a locally convex space through duality theory.},
author = {Khan, Abdul Rahim, Hussain, Nawab},
journal = {Archivum Mathematicum},
keywords = {locally convex space; measurable map; random approximation; characterization; locally convex space},
language = {eng},
number = {4},
pages = {271-275},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Characterizations of random approximations},
url = {http://eudml.org/doc/249119},
volume = {039},
year = {2003},
}

TY - JOUR
AU - Khan, Abdul Rahim
AU - Hussain, Nawab
TI - Characterizations of random approximations
JO - Archivum Mathematicum
PY - 2003
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 039
IS - 4
SP - 271
EP - 275
AB - Some characterizations of random approximations are obtained in a locally convex space through duality theory.
LA - eng
KW - locally convex space; measurable map; random approximation; characterization; locally convex space
UR - http://eudml.org/doc/249119
ER -

References

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  8. Rao G. S., Elumalai S., Approximation and strong approximation in locally convex spaces, Pure Appl. Math. Sci. XIX (1984), no. 1-2, 13–26. (1984) Zbl0552.41025MR0748110
  9. Rudin W., Functional Analysis, McGraw-Hill Book Company, New York, 1973. (1973) MR0365062
  10. Sehgal V. M., Singh S. P., On random approximations and a random fixed point theorem for set valued mappings, Proc. Amer. Math. Soc. 95 (1985), 91–94. (1985) Zbl0607.47057MR0796453
  11. Tan K. K., Yuan X. Z., Random fixed point theorems and approximations in cones, J. Math. Anal. Appl. 185 (1994), no. 2, 378–390. (1994) MR1283065
  12. Thaheem A. B., Existence of best approximations, Port. Math. 42 (1983-84), no. 4, 435–440. (1983) MR0836121
  13. Tukey J. W., Some notes on the separation axioms of convex sets, Port. Math. 3 (1942), 95–102. (1942) MR0006606

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