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A generalization of the Hahn-Banach theorem. (English) Zbl 0509.46003


MSC:

46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators
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[1] Browder, F. E., The fixed-point theory of multi-valued mappings in topological vector spaces, Math. Ann., 177, 283-301 (1968) · Zbl 0176.45204
[2] Browder, F. E., On a sharpened form of the Schauder fixed-point theorem, (Proc. Nat. Acad. Sci. U.S.A., 74 (1977)), 4749-4751 · Zbl 0375.47028
[3] Day, M. M., Normed Linear Spaces (1973), Springer-Verlag: Springer-Verlag New York/Berlin · Zbl 0268.46013
[5] Fan, K., Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations, Math. Z., 68, 205-216 (1957) · Zbl 0078.10204
[6] Fan, K., A generalization of Tychonoff fixed-point theorem, Math. Ann., 142, 305-310 (1961) · Zbl 0093.36701
[7] Fan, K., A minimax inequality and applications, (Shisha, O., Inequalities, Vol. III (1972), Academic Press: Academic Press New York), 103-113
[8] Kakutani, S., Two fixed-point theorems concerning bicompact convex sets, (Proc. Imp. Acad. Tokyo, 14 (1938)), 242-245 · JFM 64.1101.03
[9] Kelly, J. L.; Namioka, I., Linear Topological Spaces (1976), Springer-Verlag: Springer-Verlag New York/Berlin
[10] Takahashi, W., Nonlinear variational inequalities and fixed-point theorems, J. Math. Soc. Japan, 28, 168-181 (1976) · Zbl 0314.47032
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