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An Existence Theorem in Potential Theory

Published online by Cambridge University Press:  22 January 2016

Masanori Kishi
Masanori Kishi*
Affiliation:
Mathematical Institute, Nagoya University
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1. Concerning a positive lower semicontinuous kernel G on a locally compact Hausdorff space X the following existence theorem was obtained in [3].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 1 , February 1966 , pp. 133 - 137
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Fan, K., Fixed-point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U.S.A., 38 (1952), 121–126.Google Scholar
[2] Glicksberg, I. L., A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points, Proc. Amer. Math. Soc., 3 (1952), 170–174.Google Scholar
[3] Kishi, M.. Maximum principles in the potential theory, Nagoya Math. J., 23 (1963), 165–187.Google Scholar
[4] Nakai, M., On the fundamental existence theorem of Kishi, Nagoya Math. J., 23 (1963), 189–198.Google Scholar