Some fixed point theorems and convolution equations
HTML articles powered by AMS MathViewer
- by D. D. Ang and D. E. Daykin PDF
- Proc. Amer. Math. Soc. 19 (1968), 1187-1194 Request permission
References
- W. F. Eberlein, Characterizations of Fourier-Stieltjes transforms, Duke Math. J. 22 (1955), 465–468. MR 72424
- M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74–79. MR 133102, DOI 10.1112/jlms/s1-37.1.74 —, On non-expansive mappings of uniform spaces, Indag. Math. 23 (1961), 89-96.
- R. E. Edwards, A fixed point theorem with applications to convolution equations, J. Austral. Math. Soc. 3 (1963), 385–395. MR 0167820 D. Fearnley-Sander, Contraction mappings in uniform spaces, 1963, (unpublished). E. Hewitt and K. A. Ross, Abstract harmonic analysis, Academic Press, New York, 1963. F. Monna, Sur un theoreme de M. Luxemburg concernaut les points fixes d’une classe d’applications d’un espace metrique dans lui même, Indag. Math. 27 (1965), 47-51.
- A. P. Robertson and W. J. Robertson, Topological vector spaces, Cambridge Tracts in Mathematics and Mathematical Physics, No. 53, Cambridge University Press, New York, 1964. MR 0162118
- Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834 N. Bourbaki, General topology, Part 1, Addison-Wesley, Reading, Mass., 1966; p. 204.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1187-1194
- MSC: Primary 22.65; Secondary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1968-0230849-1
- MathSciNet review: 0230849