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A general coincidence theorem on contractible spaces
Author(s):
Sehie
Park;
Kwang
Sik
Jeong
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3203-3206.
MSC (1991):
Primary 47H10, 49A40, 54C60;
Secondary 54H25, 55M20
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Abstract:
We obtain a general coincidence theorem for multifunctions in very large classes defined on contractible spaces. Our theorem generalizes a recent result due to Tarafdar and Yuan (1994) and many other earlier works including the Fan-Browder fixed point theorem.
References:
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- Sehie Park, On minimax inequalities on spaces having certain contractible subsets, Bull. Austral. Math. Soc. 47 (1993), 25--40. MR 94a:49005
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- ------, Coincidences of composites of admissible u.s.c. maps and applications, Math. Rep. Acad. Sci. Canada 15 (1993), 125--130. MR 94f:47071
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- ------, Generalized Leray-Schauder principles for compact admissible multifunctions, Top. Meth. Nonlinear Anal. 5 (1995), 271--277.
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- E. Tarafdar and X.-Z. Yuan, A remark on coincidence theorems, Proc. Amer. Math. Soc. 122 (1994), 957--959. MR 95a:47066
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Additional Information:
Sehie
Park
Affiliation:
Department of Mathematics, Seoul National University, Seoul 151--742, Korea
Email:
shpark@math.snu.ac.kr.
Kwang
Sik
Jeong
Affiliation:
Department of Mathematics, Soong Sil University, Seoul 156-743, Korea
DOI:
10.1090/S0002-9939-96-03513-7
PII:
S 0002-9939(96)03513-7
Keywords:
Multifunction (map),
$H$-space,
$c$-space,
u.s.c. map,
Kakutani map,
acyclic map,
approximable map,
admissible map,
contractible,
$\infty $-proximally connected,
compactly open
Received by editor(s):
April 11, 1995
Additional Notes:
Supported in part by Ministry of Education, 1995, Project Number BSRI-95-1413.
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Sehie Park, Remarks on admissible multifunctions and the Leray-Schauder principles , Nonlinear Analysis Forum 1 (1995), 1--12. MR 99f:47072
Sehie Park, Coincidence theorems for the better admissible multimaps and their applications, Nonlinear Anal. (7) 30 (1997), 4183--4191. MR 99b:47079
Sehie Park, Coincidence theorems for set valued maps with G-KKM property on generalized convex space, Discuss. Math. Differential Incl. 18 (1998), 69--85. MR 2000b:54054
George Xian-Zhi Yuan, KKM Theory and Applications in Nonlinear Analysis, Monographs and textbooks in pure and applied mathematics, vol. 218, Marcel Dekker, 1999. MR 2000b:49002
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