On oriented metric spaces

Ivan L. Reilly; Mavina K. Vamanamurthy

Mathematica Slovaca (1984)

  • Volume: 34, Issue: 3, page 299-305
  • ISSN: 0232-0525

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Reilly, Ivan L., and Vamanamurthy, Mavina K.. "On oriented metric spaces." Mathematica Slovaca 34.3 (1984): 299-305. <http://eudml.org/doc/32175>.

@article{Reilly1984,
author = {Reilly, Ivan L., Vamanamurthy, Mavina K.},
journal = {Mathematica Slovaca},
keywords = {Cauchy sequence; quasi-metric space; convergence; completeness; sequential compactness and total boundedness},
language = {eng},
number = {3},
pages = {299-305},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On oriented metric spaces},
url = {http://eudml.org/doc/32175},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Reilly, Ivan L.
AU - Vamanamurthy, Mavina K.
TI - On oriented metric spaces
JO - Mathematica Slovaca
PY - 1984
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 34
IS - 3
SP - 299
EP - 305
LA - eng
KW - Cauchy sequence; quasi-metric space; convergence; completeness; sequential compactness and total boundedness
UR - http://eudml.org/doc/32175
ER -

References

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  2. BALANZAT M., Sobre la metrizacion de los espacios cuasi metricos, Gaz. Mat. Lisboa 50, 1951, 91-94. (1951) 
  3. BODJANOVA S., Some basic notions of mathematical analysis in oriented metric spaces, Math. Slovaca З1, 1981, 277-289. (1981) Zbl0481.54016MR0621918
  4. DI CONCILIO A., Spazi quasimetrici e topologie ad essi associate, Accademia delle scienze fisiche e matematiche, Rendiconti, Napoli 38, 1971, 113-130. (1971) MR0339095
  5. DOMIATY R. Z., The Hausdorff separation property for space-time, Eleutheria (Athenes) 2, 1979, 358-371. (1979) MR0622293
  6. DUTTA M., DAS M. K., and MAJUMDAR M., On some generalization of fixed point theorems with applications in operator equations, Glasnik Mat. 9 (29), 1974, 155-159. (1974) MR0353069
  7. FLETCHER P., LINDGREN W. F., Transitive quasi-uniformities, J. Math. Anal. Appl. 39, 1972, 397-405. (1972) Zbl0203.55603MR0317281
  8. KELLY J. C., Bitopological spaces, Proc. London Math. Soc. 13, 1963, 71-89. (1963) Zbl0107.16401MR0143169
  9. MAJUMDAR M., Formulation of fixed point principle in a weak metric space, Bull. Math. de la Soc. Sci. Math. de la R. S. Roumanie 21 (69), 1977, 339-343. (1977) Zbl0392.54026MR0482720
  10. NEDEV S. I., CHOBAN M. M., On the theory of 0-metrizable spaces, I, II, III, Vestnik Moskov. Univ. Seг.I. Mat. Meh. 27, 1972, #1, 8-12, #2, 10-17, #3, 10-15. (1972) 
  11. PATTY C. W., Bitopological spaces, Duke Math. J. 34, 1967, 387-391. (1967) Zbl0153.24301MR0220244
  12. REILLY I. L., SUBRAHMANYAM P. V., VAMANAMURTHY M. K., Cauchy sequences in quasi-pseudo-metric spaces, Monatshefte Math., Springeг-Verlag (to appeaг). Zbl0472.54018
  13. RIBEIRO H., Sur les espaces à mètrique faible, Poгtugaliae Math. 4, 1943, 21-40. (1943) Zbl0028.32002MR0009432
  14. SION M., ZELMER G., On quasi-metrizability, Canad. J. Math. 19, 1967, 1243-1249. (1967) MR0221470
  15. WATERMAN M. S., SMITH T. F., BEYER W. A., Some biological sequence metгics, Advances in Math. 20, 1976, 367-387. (1976) MR0408876
  16. WILSON W. A., On quasi-metric spaces, Amer. J. Math. 53, 1931, 675-684. (1931) Zbl0002.05503MR1506845

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