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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a minimax inequality of Ky Fan
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by Chung Wei Ha
Proc. Amer. Math. Soc. 99 (1987), 680-682
DOI: https://doi.org/10.1090/S0002-9939-1987-0877039-9
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Abstract:

An extension of a minimax inequality of Ky Fan is given. It is then used to generalize to the set-valued setting a fixed point theorem of Ky Fan.
References
  • Jean-Pierre Aubin, Mathematical methods of game and economic theory, Studies in Mathematics and its Applications, vol. 7, North-Holland Publishing Co., Amsterdam-New York, 1979. MR 556865
  • Ky. Fan, Fixed-point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 121–126. MR 47317, DOI 10.1073/pnas.38.2.121
  • Ky Fan, Extensions of two fixed point theorems of F. E. Browder, Math. Z. 112 (1969), 234–240. MR 251603, DOI 10.1007/BF01110225
  • Ky Fan, A minimax inequality and applications, Inequalities, III (Proc. Third Sympos., Univ. California, Los Angeles, Calif., 1969; dedicated to the memory of Theodore S. Motzkin), Academic Press, New York, 1972, pp. 103–113. MR 0341029
  • Ky Fan, Some properties of convex sets related to fixed point theorems, Math. Ann. 266 (1984), no. 4, 519–537. MR 735533, DOI 10.1007/BF01458545
  • Chung Wei Ha, Minimax and fixed point theorems, Math. Ann. 248 (1980), no. 1, 73–77. MR 569411, DOI 10.1007/BF01349255
  • Simeon Reich, Fixed points in locally convex spaces, Math. Z. 125 (1972), 17–31. MR 306989, DOI 10.1007/BF01111112
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 680-682
  • MSC: Primary 47H10; Secondary 49A29, 49A40, 90C48
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0877039-9
  • MathSciNet review: 877039