A note on fixed-point theorems. (English) Zbl 0483.47039


47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
41A50 Best approximation, Chebyshev systems


Zbl 0399.41032
Full Text: DOI


[1] Brosowski, B., Fixpunktsätze in der Approximations-theorie, Mathematica (Cluj), 11, 195-220 (1969) · Zbl 0207.45502
[2] Browder, F. E.; Petryshyn, W. V., Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl., 20, 197-228 (1967) · Zbl 0153.45701
[3] James, R. C., Characterizations of reflexivity, Stud. Math., 23, 205-216 (1964) · Zbl 0113.09303
[4] Larsen, R., Functional Analysis: An Introduction (1973), Dekker: Dekker New York · Zbl 0261.46001
[5] Singh, S. P., An application of a fixed-point theorem to approximation theory, J. Approx. Theory, 25, 89-90 (1979) · Zbl 0399.41032
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