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Volumn 103, Issue 2, 2000, Pages 292-301

Semi-Lipschitz Functions and Best Approximation in Quasi-Metric Spaces

Author keywords

Semi Lipschitz function; best approximation; quasi norm; quasi metric; bicomplete

Indexed keywords


EID: 0000197050     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1999.3439     Document Type: Article
Times cited : (59)

References (33)
  • 1
    • 0011267138 scopus 로고
    • A bitopological view of quasi-uniform completeness, I
    • Deák J. A bitopological view of quasi-uniform completeness, I. Studia Sci. Math. Hungar. 30:1995;389-409.
    • (1995) Studia Sci. Math. Hungar. , vol.30 , pp. 389-409
    • Deák, J.1
  • 2
    • 0001061693 scopus 로고
    • On completeness in quasi-metric spaces
    • Doitchinov D. On completeness in quasi-metric spaces. Topology Appl. 30:1988;127-148.
    • (1988) Topology Appl. , vol.30 , pp. 127-148
    • Doitchinov, D.1
  • 4
    • 38249012334 scopus 로고
    • Completeness using pairs of filters
    • Fletcher P., Hunsaker W. Completeness using pairs of filters. Topology Appl. 44:1992;149-155.
    • (1992) Topology Appl. , vol.44 , pp. 149-155
    • Fletcher, P.1    Hunsaker, W.2
  • 6
    • 0013109847 scopus 로고
    • Fixed point theorems for quasi-metric spaces
    • Hicks T. L. Fixed point theorems for quasi-metric spaces. Math. Japon. 33:1988;231-236.
    • (1988) Math. Japon. , vol.33 , pp. 231-236
    • Hicks, T.L.1
  • 7
    • 0346244611 scopus 로고
    • A contribution to fixed point theory in quasi-metric spaces
    • Jachymski J. A contribution to fixed point theory in quasi-metric spaces. Publ. Math. Debrecen. 43:1993;283-288.
    • (1993) Publ. Math. Debrecen , vol.43 , pp. 283-288
    • Jachymski, J.1
  • 8
    • 84967774570 scopus 로고
    • Banach spaces of Lipschitz functions and vector-valued Lipschitz functions
    • Johnson J. A. Banach spaces of Lipschitz functions and vector-valued Lipschitz functions. Trans. Amer. Math. Soc. 148:1970;147-169.
    • (1970) Trans. Amer. Math. Soc. , vol.148 , pp. 147-169
    • Johnson, J.A.1
  • 9
    • 38249019149 scopus 로고
    • Computer graphics and connected topologies on finite ordered sets
    • Khalimsky E. D., Kopperman R. D., Meyer P. R. Computer graphics and connected topologies on finite ordered sets. Topology Appl. 36:1990;1-17.
    • (1990) Topology Appl. , vol.36 , pp. 1-17
    • Khalimsky, E.D.1    Kopperman, R.D.2    Meyer, P.R.3
  • 11
    • 0003050091 scopus 로고
    • All topologies come from generalized metrics
    • Kopperman R. D. All topologies come from generalized metrics. Amer. Math. Monthly. 95:1988;89-97.
    • (1988) Amer. Math. Monthly , vol.95 , pp. 89-97
    • Kopperman, R.D.1
  • 12
    • 0028569088 scopus 로고
    • Some topology-based image processing algorithms
    • S. Andina, G. Itzkowitz, T. Y. Kong, R. Kopperman, P. R. Misra, L. Narici, & A. Told. New York: New York Acad. Sci.
    • Kovalevsky V., Kopperman R. D. Some topology-based image processing algorithms. Andina S., Itzkowitz G., Kong T. Y., Kopperman R., Misra P. R., Narici L., Told A. Papers on General Topology and Applications. Ann. New York Acad. Sci. 1994;174-182 New York Acad. Sci. New York.
    • (1994) Papers on General Topology and Applications. Ann. New York Acad. Sci. , pp. 174-182
    • Kovalevsky, V.1    Kopperman, R.D.2
  • 13
    • 0040261620 scopus 로고
    • On quasi-uniform convergence and quiet spaces
    • Künzi H. P. A. On quasi-uniform convergence and quiet spaces. Questions Answers Gen. Topology. 13:1995;87-92.
    • (1995) Questions Answers Gen. Topology , vol.13 , pp. 87-92
    • Künzi, H.P.A.1
  • 15
    • 0001744897 scopus 로고
    • The Bourbaki quasi-uniformity
    • Künzi H. P. A., Ryser C. The Bourbaki quasi-uniformity. Topology Proc. 20:1995;161-183.
    • (1995) Topology Proc. , vol.20 , pp. 161-183
    • Künzi, H.P.A.1    Ryser, C.2
  • 16
    • 0028558872 scopus 로고
    • Partial metrics
    • S. Andina, G. Itzkowitz, T. Y. Kong, R. Kopperman, P. R. Misra, L. Narici, & A. Told. New York: New York Acad. Sci.
    • Matthews S. G. Partial metrics. Andina S., Itzkowitz G., Kong T. Y., Kopperman R., Misra P. R., Narici L., Told A. Papers on General Topology and Applications. Ann. New York Acad. Sci. 1994;183-197 New York Acad. Sci. New York.
    • (1994) Papers on General Topology and Applications. Ann. New York Acad. Sci. , pp. 183-197
    • Matthews, S.G.1
  • 17
    • 0346244615 scopus 로고
    • On the best approximation in metric spaces
    • Mustata C. On the best approximation in metric spaces. Ann. Numer. Theory Approx. 4:1975;45-50.
    • (1975) Ann. Numer. Theory Approx. , vol.4 , pp. 45-50
    • Mustata, C.1
  • 18
    • 0346244612 scopus 로고
    • A characterization of semi-Chebyschev sets in a metric space
    • Mustata C. A characterization of semi-Chebyschev sets in a metric space. Ann. Numer. Theory Approx. 7:1978;169-170.
    • (1978) Ann. Numer. Theory Approx. , vol.7 , pp. 169-170
    • Mustata, C.1
  • 19
    • 0346244613 scopus 로고
    • On some approximation problems in metrics spaces
    • Narang T. D. On some approximation problems in metrics spaces. Tamkang J. Math. 22:1991;99-103.
    • (1991) Tamkang J. Math. , vol.22 , pp. 99-103
    • Narang, T.D.1
  • 20
    • 0040261534 scopus 로고
    • Ascoli's theorem in a quiet quasi-uniform space
    • Papadopoulos B. K. Ascoli's theorem in a quiet quasi-uniform space. Panamer. Math. J. 3:1993;19-22.
    • (1993) Panamer. Math. J. , vol.3 , pp. 19-22
    • Papadopoulos, B.K.1
  • 21
    • 0039669819 scopus 로고
    • A note on the paper "quasi-uniform convergence on function spaces"
    • Papadopoulos B. K. A note on the paper "Quasi-uniform convergence on function spaces" Questions Answers Gen. Topology. 13:1995;55-56.
    • (1995) Questions Answers Gen. Topology , vol.13 , pp. 55-56
    • Papadopoulos, B.K.1
  • 22
    • 0347505511 scopus 로고
    • Hypertopologies induced by scales of functional kind
    • Pasquale A. Hypertopologies induced by scales of functional kind. Boll. Un. Mat. Ital. B. 7:1993;431-449.
    • (1993) Boll. Un. Mat. Ital. B , vol.7 , pp. 431-449
    • Pasquale, A.1
  • 24
    • 84985322312 scopus 로고
    • Left K-completeness in quasi-metric spaces
    • Romaguera S. Left K-completeness in quasi-metric spaces. Math. Nachr. 157:1992;15-23.
    • (1992) Math. Nachr. , vol.157 , pp. 15-23
    • Romaguera, S.1
  • 25
    • 0346875023 scopus 로고
    • Continuity of contractive mappings in complete quasi-metric spaces
    • Romaguera S., Checa E. Continuity of contractive mappings in complete quasi-metric spaces. Math. Japon. 35:1990;137-139.
    • (1990) Math. Japon. , vol.35 , pp. 137-139
    • Romaguera, S.1    Checa, E.2
  • 26
    • 0039077742 scopus 로고
    • Bitopologies and quasi-uniformities on spaces of continuous functions, I
    • Romaguera S., Ruiz-Gómez M. Bitopologies and quasi-uniformities on spaces of continuous functions, I. Publ. Math. Debrecen. 47:1995;81-93.
    • (1995) Publ. Math. Debrecen , vol.47 , pp. 81-93
    • Romaguera, S.1    Ruiz-Gómez, M.2
  • 27
    • 19144362927 scopus 로고
    • The Smyth completion: A common foundation for denotational semantics and complexity analysis
    • Schellekens M. The Smyth completion: A common foundation for denotational semantics and complexity analysis. Electron. Notes Comput. Sci. 1:1995;1-22.
    • (1995) Electron. Notes Comput. Sci. , vol.1 , pp. 1-22
    • Schellekens, M.1
  • 30
    • 0001818543 scopus 로고
    • Totally bounded spaces and compact ordered spaces as domains of computation
    • G. M. Reed, A. W. Rosco, & R. F. Wachter. Oxford: Clarendon
    • Smyth M. B. Totally bounded spaces and compact ordered spaces as domains of computation. Reed G. M., Rosco A. W., Wachter R. F. Topology and Category Theory in Computer Science. 1991;207-229 Clarendon, Oxford.
    • (1991) Topology and Category Theory in Computer Science , pp. 207-229
    • Smyth, M.B.1
  • 31
    • 84963017359 scopus 로고
    • Completeness of quasi-uniform and syntopological spaces
    • Smyth M. B. Completeness of quasi-uniform and syntopological spaces. J. London Math. Soc. 49:1994;385-400.
    • (1994) J. London Math. Soc. , vol.49 , pp. 385-400
    • Smyth, M.B.1
  • 32
    • 0002253239 scopus 로고
    • Quasi-uniform completeness in terms of Cauchy nets
    • Sünderhauf Ph. Quasi-uniform completeness in terms of Cauchy nets. Acta Math. Hungar. 69:1995;47-54.
    • (1995) Acta Math. Hungar. , vol.69 , pp. 47-54
    • Sünderhauf, Ph.1
  • 33
    • 0347505512 scopus 로고
    • A representation theorem for quasi-metric spaces
    • Vitolo P. A representation theorem for quasi-metric spaces. Topology Appl. 65:1995;101-104.
    • (1995) Topology Appl. , vol.65 , pp. 101-104
    • Vitolo, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.