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Fixed point theorems for nonexpansive mappings in linear topological spaces. (English) Zbl 0207.45501


MSC:

47H10 Fixed-point theorems
Full Text: DOI

References:

[1] Belluce, L. P.; Kirk, W. A.: Some fixed point theorems in metric and Banach spaces. Canad. math. Bull. 12, 481-491 (1969) · Zbl 0195.42901
[2] 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
[3] W. G. Dotson, Jr., Fixed point theorems for nonexpansive mappings on starshaped subsets of Banach spaces, J. London Math. Soc., to appear.
[4] Defigueiredo, D. G.: Topics in nonlinear functional analysis. Lecture series no. 48 (1967)
[5] Kelley, J. L.: General topology. (1955) · Zbl 0066.16604
[6] Kelley, J. L.; Namioka, I.: Linear topological spaces. (1963) · Zbl 0115.09902
[7] Kirk, W. A.: Nonexpansive mappings and the weak closure of sequences of iterates. Duke math. J. 36, 639-645 (1969) · Zbl 0185.39501
[8] Knill, R. J.: Fixed points of uniform contractions. J. math. Anal. appl. 12, 449-455 (1965) · Zbl 0132.18902
[9] Meir, A.; Keeler, E.: A theorem on contraction mappings. J. math. Anal. appl. 28, 326-329 (1969) · Zbl 0194.44904
[10] Schaefer, H. H.: Topological vector spaces. (1966) · Zbl 0141.30503
[11] W. W. Taylor, A theory of contractive mappings in uniform spaces, submitted.
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