×

Some results on best approximation in locally convex spaces. (English) Zbl 0444.41018


MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50 Best approximation, Chebyshev systems
54H10 Topological representations of algebraic systems
47H10 Fixed-point theorems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Brosowski, B., Fixpunktsätze in der Approximationstheorie, Mathematica (Cluj), 11, 195-220 (1969) · Zbl 0207.45502
[2] Cain, G. L.; Nashed, M. Z., Fixed points and stability for a sum of two operators in locally convex spaces, Pacific J. Math., 39, 581-592 (1971) · Zbl 0229.47044
[3] Meinardus, G., Invarianz bei Linearen Approximationen, Arch. Rational Mech. Anal., 14, 301-303 (1963) · Zbl 0122.30801
[4] Reich, S., Approximate selections, best approximations, fixed points and invariant sets, J. Math. Anal. Appl., 62, 104-113 (1978) · Zbl 0375.47031
[5] Singh, S. P., An application of a fixed-point theorem to approximation theory, J. Approximation Theory, 25, 80-89 (1979) · Zbl 0399.41032
[6] Su, C. H.; Sehgal, V. M., Some fixed point theorems for nonexpansive mappings in locally convex spaces, Bol. Un. Mat. Ital., 4, 598-601 (1970) · Zbl 0308.47043
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.