Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-22T05:04:49.633Z Has data issue: false hasContentIssue false

Monotone mappings in topological linear spaces

Published online by Cambridge University Press:  09 April 2009

Sadayuki Yamamuro
Affiliation:
The Australian National University, Canberra.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Copyright © Australian Mathematical Society 1965

References

[1]Leray, J. and Schauder, J.Topologie et Equations Fonctionnelles, Ann. Sci. Ecole Norm. Sup., 51 (1934), 4578.CrossRefGoogle Scholar
[2]Nagumo, M., Degree of Mappings in Convex Linear Topological Spaces, Amer. J. Math., 73 (1951), 497511.CrossRefGoogle Scholar
[3]Yamamuro, S., A Note on the Boundedness Property of Non-linear Operators, Yokohama Math. J. 10 (1962), 1923.Google Scholar
[4]Yamamuro, S., Some Fixed Point Theorems in Locally Convex Linear Spaces, ibid., 11 (1963), 512.Google Scholar