A fixed point theorem for a system of multivalued transformations
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- by S. Czerwik PDF
- Proc. Amer. Math. Soc. 55 (1976), 136-139 Request permission
Abstract:
We shall prove a fixed point theorem for a system of multivalued mappings which generalizes the result obtained by the author [1, Theorem 1]. For $n = 1$ we obtain a generalization of results of Reich [5, Theorem 5] and Nadler [3, Theorem 5], [4, Theorem 1].References
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S. Czerwik, Fixed point theorems for system multi-valued mappings, Coll. Math. (to appear).
- J. Matkowski, Some inequalities and a generalization of Banach’s principle, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 21 (1973), 323–324 (English, with Russian summary). MR 317116
- Sam B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475–488. MR 254828
- Sam B. Nadler Jr., Some results on multi-valued contraction mappings, Set-Valued Mappings, Selections and Topological Properties of $2^X$ (Proc. Conf., SUNY, Buffalo, N.Y., 1969) Lecture Notes in Mathematics, Vol. 171, Springer, Berlin, 1970, pp. 64–69. MR 0275391
- Simeon Reich, Kannan’s fixed point theorem, Boll. Un. Mat. Ital. (4) 4 (1971), 1–11. MR 0305163
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 136-139
- DOI: https://doi.org/10.1090/S0002-9939-1976-0394619-0
- MathSciNet review: 0394619