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Zbl 0947.54023
Popa, Valeriu
A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation.
(English)
[J] Demonstr. Math. 33, No.1, 159-164 (2000). ISSN 0420-1213

The result of the author is a coincidence theorem in complete metric spaces for two single-valued mappings and two multivalued mappings satisfying an inequality based on an implicit relation. The involved mappings verify the compatibility condition due to {\it H. Kaneko} and the reviewer [Int. J. Math. Math. Sci. 12, No. 2, 257-262 (1989; Zbl 0671.54023)].
[S.Sessa (Napoli)]
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: coincidence point; compatible maps

Citations: Zbl 0671.54023

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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