Nonlinear variational inequalities and fixed point theorems

Wataru TAKAHASHI

doi:10.2969/jmsj/02810168

Wataru TAKAHASHI

著者情報

ジャーナルフリー

1976 年 28 巻 1 号 p. 168-181

DOI https://doi.org/10.2969/jmsj/02810168

詳細

Published: 1976 Received: 1975/04/21 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) F. E. Browder, On a new generalization of the Schauder fixed point theorem, Math. Ann., 174 (1967), 285-290.
2) F. E. Browder, The fixed point theory of multi-valued mappings in topological vector spaces, Math. Ann., 177 (1968), 283-301.
3) N. Dunford and J. T. Schwartz, Linear operators, Part 1, Interscience, New York, 1958.
4) K. Fan, Minimax theorems, Proc. Nat. Acad. Sci., 39 (1953), 42-47.
5) K. Fan, Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations, Math. Z., 68 (1957), 205-217.
6) K. Fan, Applications of a theorem concerning sets with convex sections, Math. Ann., 163 (1966), 189-203.
7) K. Fan, Extensions of two fixed point theorems of F. E. Browder, Math. Z., 112 (1969), 234-240.
8) P. Hartman and G. Stampacchia, On some nonlinear elliptic differential functional equations, Acta Math., 115 (1966), 271-310.
9) S. Kakutani, A generalization of Brouwer's fixed point theorem, Duke Math. J., 8 (1941), 457-459.
10) J.J. Moré, Coercivity conditions nonlinear complementarity problems, SIAM Review, 16 (1974), 1-16.
11) H. H. Schaefer, Topological vector space, Macmillan, New York, 1966.
12) M. Sion, On general minimax theorems, Pacific J. Math., 8 (1958), 171-176.
13) F. Terkelsen, Some minimax theorems, Math. Scand., 31 (1972), 405-413.
14) W. Takahashi, Minimax theorems and fixed point theorems, Res. Rep. Inf. Sci. No. A-7, 1974.
15) W. Takahashi, Systems of convex inequalities and fixed point theorems, Res. Rep. Inf. Sci. No. A-8, 1974.

Right : [1] F. E. Browder, On a new generalization of the Schauder fixed point theorem, Math. Ann., 174 (1967), 285-290.
[2] F. E. Browder, The fixed point theory of multi-valued mappings in topological vector spaces, Math. Ann., 177 (1968), 283-301.
[3] N. Dunford and J. T. Schwartz, Linear operators, Part 1, Interscience, New York, 1958.
[4] K. Fan, Minimax theorems, Proc. Nat. Acad. Sci., 39 (1953), 42-47.
[5] K. Fan, Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations, Math. Z., 68 (1957), 205-217.
[6] K. Fan, Applications of a theorem concerning sets with convex sections, Math. Ann., 163 (1966), 189-203.
[7] K. Fan, Extensions of two fixed point theorems of F. E. Browder, Math. Z., 112 (1969), 234-240.
[8] P. Hartman and G. Stampacchia, On some nonlinear elliptic differential functional equations, Acta Math., 115 (1966), 271-310.
[9] S. Kakutani, A generalization of Brouwer's fixed point theorem, Duke Math. J., 8 (1941), 457-459.
[10] J. J. Moré, Coercivity conditions nonlinear complementarity problems, SIAM Review, 16 (1974), 1-16.
[11] H. H. Schaefer, Topological vector space, Macmillan, New York, 1966.
[12] M. Sion, On general minimax theorems, Pacific J. Math., 8 (1958), 171-176.
[13] F. Terkelsen, Some minimax theorems, Math. Scand., 31 (1972), 405-413.
[14] W. Takahashi, Minimax theorems and fixed point theorems, Res. Rep. Inf. Sci. No. A-7, 1974.
[15] W. Takahashi, Systems of convex inequalities and fixed point theorems, Res. Rep. Inf. Sci. No. A-8, 1974.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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