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On a fixed point problem of Reich


Author: Chen Yu-Qing
Journal: Proc. Amer. Math. Soc. 124 (1996), 3085-3088
MSC (1991): Primary 47H06, 47H10; Secondary 54H25
MathSciNet review: 1328383
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Abstract: In this paper, we give an affirmative answer to a fixed point problem of S.Reich.


References [Enhancements On Off] (What's this?)

  • 1. Thakyin Hu, Fixed point theorems for multivalued mappings, Canad. Math. Bull. 23 (1980), no. 2, 193–197. MR 576099, 10.4153/CMB-1980-026-2
  • 2. Hwei Mei Ko and Yüeh Hsia Ts’ai, Fixed point theorems with localized property, Tamkang J. Math. 8 (1977), no. 1, 81–85. MR 0467713
  • 3. 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
  • 4. Simeon Reich, Some fixed point problems, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 57 (1974), no. 3-4, 194–198 (1975) (English, with Italian summary). MR 0397487
  • 5. Simeon Reich, Fixed points of contractive functions, Boll. Un. Mat. Ital. (4) 5 (1972), 26–42 (English, with Italian summary). MR 0309095
  • 6. Simeon Reich, Some problems and results in fixed point theory, Topological methods in nonlinear functional analysis (Toronto, Ont., 1982), Contemp. Math., vol. 21, Amer. Math. Soc., Providence, RI, 1983, pp. 179–187. MR 729515, 10.1090/conm/021/729515
  • 7. Simeon Reich, A fixed point theorem for locally contractive multi-valued functions, Rev. Roumaine Math. Pures Appl. 17 (1972), 569–572. MR 0319175

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Additional Information

Chen Yu-Qing
Affiliation: Department of Mathematics, Sichuan University, Chengdu, People’s Republic of China

DOI: https://doi.org/10.1090/S0002-9939-96-03428-4
Keywords: Fixed point, multivalued contraction, Hausdorff metric
Received by editor(s): September 14, 1994
Received by editor(s) in revised form: January 10, 1995, and March 27, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society