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On a fixed point problem of Reich
Author(s):
Chen
Yu-Qing
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3085-3088.
MSC (1991):
Primary 47H06, 47H10;
Secondary 54H25
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Abstract:
In this paper, we give an affirmative answer to a fixed point problem of S.Reich.
References:
- 1.
- T. Hu, Fixed point theorems for multi-valued mappings, Canad. Math. Bull. 23 (1980), 193--197. MR 82d:54052
- 2.
- H. M. Ko and Y. H. Tsai, Fixed point theorems with a localized property, Tamkang. Ja. Math. 8 (1977), 81--85. MR 57:7566
- 3.
- S. B. Nadler, Some results on multi-valued contraction mappings, Lect. Notes. Math., vol. 171, Springer-Verlag, 1970, pp. 64--69. MR 43:1148
- 4.
- S. Reich, Some fixed point problems, Atti Acad. Naz. Lincei. 57 (1974), 194--198. MR 53:1346
- 5.
- S. Reich, Fixed points of contractive functions, Boll. Un. Mat. Ital. 5 (1972), 26--42. MR 46:8206
- 6.
- S. Reich, Some problems and results in fixed point theory, Contemporary Math. 21 (1983), 179--187. MR 85e:47082
- 7.
- S. Reich, A fixed point theorem for locally contractive multi-valued functions, Rev. Roumaine. Math. Pures. Appl. 17 (1972), 569--572. MR 47:7721
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Additional Information:
Chen
Yu-Qing
Affiliation:
Department of Mathematics, Sichuan University, Chengdu, People's Republic of China
DOI:
10.1090/S0002-9939-96-03428-4
PII:
S 0002-9939(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
Copyright of article:
Copyright
1996,
American Mathematical Society
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