# On $f$-best approximation in topological spaces

Archivum Mathematicum (1985)

- Volume: 021, Issue: 4, page 229-233
- ISSN: 0044-8753

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topNarang, Tulsi Dass. "On $f$-best approximation in topological spaces." Archivum Mathematicum 021.4 (1985): 229-233. <http://eudml.org/doc/18174>.

@article{Narang1985,

author = {Narang, Tulsi Dass},

journal = {Archivum Mathematicum},

keywords = {f-projection; f-proximinal; f-Chebyshev; f-boundedly compact; f-convex set; uniqueness of f-best approximation; Hausdorff topological spaces},

language = {eng},

number = {4},

pages = {229-233},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On $f$-best approximation in topological spaces},

url = {http://eudml.org/doc/18174},

volume = {021},

year = {1985},

}

TY - JOUR

AU - Narang, Tulsi Dass

TI - On $f$-best approximation in topological spaces

JO - Archivum Mathematicum

PY - 1985

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 021

IS - 4

SP - 229

EP - 233

LA - eng

KW - f-projection; f-proximinal; f-Chebyshev; f-boundedly compact; f-convex set; uniqueness of f-best approximation; Hausdorff topological spaces

UR - http://eudml.org/doc/18174

ER -

## References

top- G. C. Ahuja, T. D. Narang, On best simultaneous approximation, Nieuw Arch. Wisk., 27 (1979), 255-261. (1979) Zbl0495.41009MR0535575
- M. W. Bartelt, H. W. McLaughlin, Characterizations of strong unicity in approximation theory, J. Approximation Theory, 9 (1973), 255-266. (1973) Zbl0273.41019MR0372500
- C. Franchetti, M. Puri, Some characteristic properties of real Hilbert spaces, Rev. Roum. Math. Pures et Appl. 17 (1972), 1045-1048. (1972) Zbl0245.46024MR0318846
- T. D. Narang, On distance sets, Indian J. Pure and Applied Maths., 7 (1976), 1137-1141. (1976) Zbl0423.54019MR0545969
- T. D. Narang, Best Approximation and Strict Convexity of Metric Spaces, Arch. Math. 27 (1981), 87-90. (1981) Zbl0481.41031MR0673250
- D. V. Pai, P. Veermani, Applications of fixed point theorems to problems in optimization and best approximation, Nonlinear Analysis and Applications, Marcel Dekker, Inc., New York, Edited by S. P. Singh and J. H. Burry (1982), 393-400. (1982) MR0689575
- Ivan Singer, Best approximation in normed linear spaces by elements of linear subspaces, Springer-Verlag, 1970. (1970) Zbl0197.38601MR0270044

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