×

On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space. (English) Zbl 0343.47047


MSC:

47H10 Fixed-point theorems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Baillon, J. B., Un théorème sur les contractions dans un espace de Hilbert. Applicationà la théorie ergodique, C. R. Acad. Sci. Ser. A, 280, 1151-1154 (1975)
[2] Belluce, L. P.; Kirk, W. A., Fixed point theorems for families of contraction mappings, Pacific J. Math., 18, 213-217 (1966) · Zbl 0149.10701
[3] Browder, F. E., Nonexpansive nonlinear operators in Banach space, Proc. Nat. Acad. Sci. U.S.A., 54, 1041-1044 (1965) · Zbl 0128.35801 · doi:10.1073/pnas.54.4.1041
[4] Browder, F. E.; Petryshyn, W. V., The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc., 72, 571-575 (1966) · Zbl 0138.08202 · doi:10.1090/S0002-9904-1966-11544-6
[5] Genel, A.; Lindenstrauss, J., An example concerning fixed points, Israel J. Math., 22, 81-86 (1975) · Zbl 0314.47031 · doi:10.1007/BF02757276
[6] Göhde, D., Zum Prinzip der kontraktiven Abbildung, Math. Nachr., 30, 251-258 (1965) · Zbl 0127.08005 · doi:10.1002/mana.19650300312
[7] Kirk, W. A., A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly, 72, 1004-1006 (1965) · Zbl 0141.32402 · doi:10.2307/2313345
[8] Opial, Z., Weak convergence of the sequence of successive approximations nonexpansive mappings, Bull. Amer. Math. Soc., 73, 591-597 (1967) · Zbl 0179.19902 · doi:10.1090/S0002-9904-1967-11761-0
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.