On a Class of Multivalued Mappings in Banach Spaces
Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 387-393

Voir la notice de l'article provenant de la source Cambridge University Press

A. Granas [4] has studied single-valued compact vector fields in Banach spaces. In [3], he extended the fixed point theorems of Roth, Boknenblust and Karlin to the case of multi-valued functions. Closely following [4], we give here some general theorems in a class of multi-valued functions in Banach spaces.
Rhee, C. J. On a Class of Multivalued Mappings in Banach Spaces. Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 387-393. doi: 10.4153/CMB-1972-071-4
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[1] 1. Borges, C. J. R., On stratifiable spaces, Pacific J. Math. 17 (1966), 1-16. Google Scholar

[2] 2. Borges, C. J. R., A study of multivalued functions, Pacific J. Math. 23 (1967), 451-461. Google Scholar

[3] 3. Granas, A., Theorem on antipodes and theorems on fixedpoints for a certain class of multivalued mappings in Banach spaces, Bull. Acad. Polon. Sci. Math. Astronom. Phys. 7 (1959), 271-275. Google Scholar

[4] 4. Granas, A., The theory of compact vector fields and some of its applications to topology of functional spaces, Rozprawy Mat. XXX, Inst. Math. Acad. Polon. Sci., 1962. Google Scholar

[5] 5. Granas, A., and Jawarowski, J. W., Some theorems on multivalued mappings of subsets of the Euclidean space, Bull. Acad. Polon. Sci. Math. Astronom. Phys. 7 (1959), 277-283. Google Scholar

[6] 6. Kakutani, S., A generalization of Brouwer's fixed point theorem, Duke Math. J. 8 (1941). Google Scholar

[7] 7. Rothe, E., Theorie der Ordnung und der Vektorfelder in Banachschen Raumen, Compositio Math. 5 (1937), 177-197. Google Scholar

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