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Monotone mappings in topological linear spaces

Published online by Cambridge University Press:  09 April 2009

Sadayuki Yamamuro
Sadayuki Yamamuro
Affiliation:
The Australian National University, Canberra.
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Let E be a topological linear space over the real number field. Throughout of this paper, we denote by G an open subset of E, by ∂G the boundary of G and by the closure of G. The totality of all circled open neighbourhoods of the zero element denoted by U.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 1 , February 1965 , pp. 25 - 35
Copyright
Copyright © Australian Mathematical Society 1965

References

[1]Leray, J. and Schauder, J.Topologie et Equations Fonctionnelles, Ann. Sci. Ecole Norm. Sup., 51 (1934), 45–78.CrossRefGoogle Scholar
[2]Nagumo, M., Degree of Mappings in Convex Linear Topological Spaces, Amer. J. Math., 73 (1951), 497–511.CrossRefGoogle Scholar
[3]Yamamuro, S., A Note on the Boundedness Property of Non-linear Operators, Yokohama Math. J. 10 (1962), 19–23.Google Scholar
[4]Yamamuro, S., Some Fixed Point Theorems in Locally Convex Linear Spaces, ibid., 11 (1963), 5–12.Google Scholar