Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces

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Costica Mustata
“Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania

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C. Mustăţa, Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces, Bul. Ştiinţ. Univ. Baia Mare, Seria B, Fascicola matematică-informatică, 16 (2000) no. 2, pp. 207-212.

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Bul. Stiint. Univ. Baia Mare

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[1] Cobzas, S., Mustata, C., Norm Preserving Extension of Convex Lipschitz Functions , J. Approx. Theory, 24 (1978), 555-564.
[2] Fletcher, P., Lindgren, W.F., Quasi-Uniform Spaces, Dekker, York, 1982.
[3] McShane, J. A,, Extension of range of functions, Bull. Amer. Math. Soc. 40(1934) 837-842.
[4] Mustata, C., Best Approximation and Unique Extension of Lipschitz Functions, J. Approx. Theory 19(1977), 222-230.
[5] Mustata, C., On the Extension of Semi-Lipschitz Functions on Quasi-Metric Space (to appear).
[6] Romaguera, S., Sanchis, M., Semi-Lipschitz Functions and Best Approximation in Quasi-Metric Spaces, J. Approx. Theory 103 (2000) 292-301.
[7] Wells, J.H., Williams, L.R., Embeddings and Extensions in Analysis, Springer- Verlag, Berlin 1975.

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