Variational inequalities and complementarity problems

Shigeru ITOH; Wataru TAKAHASHI; Kenjiro YANAGI

doi:10.2969/jmsj/03010023

Shigeru ITOH, Wataru TAKAHASHI, Kenjiro YANAGI

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JOURNAL FREE ACCESS

1978 Volume 30 Issue 1 Pages 23-28

DOI https://doi.org/10.2969/jmsj/03010023

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Published: 1978 Received: April 15, 1976 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) F. E. Browder, The fixed point theory of multivalued mappings in topological vector spaces, Math. Ann., 177 (1968), 283-301.
2) K. Fan, Fixed point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U.S.A., 38 (1952), 121-126.
3) K. Fan, A generalization of Tychonoff's fixed point theorem, Math. Ann., 142 (1961), 305-310.
4) I. L. Glicksberg, A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points, Proc. Amer. Math. Soc., 3 (1952), 170-174.
5) S. Karamardian, Generalized complementarity problem, J. Optimization Theory Appl., 8 (1971), 161-168.
6) J. J. Moré, Coercivity conditions in nonlinear complementarity problems, SIAM Review, 16 (1974), 1-16.
7) H. H. Schaefer, Topological vector spaces, Macmillan, New York, 1966.
8) W. Takahashi, Nonlinear variational inequalities and fixed point theorems, J. Math. Soc. Japan, 28 (1976), 168-181.

Right : [1] F. E. Browder, The fixed point theory of multivalued mappings in topological vector spaces, Math. Ann., 177 (1968), 283-301.
[2] K. Fan, Fixed point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U. S. A., 38 (1952), 121-126.
[3] K. Fan, A generalization of Tychonoff's fixed point theorem, Math. Ann., 142 (1961), 305-310.
[4] I. L. Glicksberg, A futher generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points, Proc. Amer. Math. Soc., 3 (1952), 170-174.
[5] S. Karamardian, Generalized complementarity problem, J. Optimization Theory Appl., 8 (1971), 161-168.
[6] J. J. Moré, Coercivity conditions in nonlinear complementarity problems, SIAM Review, 16 (1974), 1-16.
[7] H. H. Schaefer, Topological vector spaces, Macmillan, New York, 1966.
8) W. Takahashi, Nonlinear variational inequalities and fixed point theorems, J. Math. Soc. Japan, 28 (1976), 168-181.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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