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Zbl 1225.54028
Sintunavarat, Wutiphol; Kumam, Poom
Coincidence and common fixed points for hybrid strict contractions without the weakly commuting condition. (English)
[J] Appl. Math. Lett. 22, No. 12, 1877-1881 (2009). ISSN 0893-9659

Summary: We establish new coincidence and common fixed point theorems for hybrid strict contraction maps by dropping the assumption ``$f$ is $T$-weakly commuting'' for a hybrid pair $(f,T)$ of multivalued maps in Theorem 3.10 of {\it T. Kamran} [J. Math. Anal. Appl. 299, No.~1, 235--241 (2004; Zbl 1064.54055)]. As an application, an invariant approximation result is derived.

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54E40 Special maps on metric spaces
54C60 Set-valued maps

Keywords: coincidence point; common fixed point; hybrid strict contraction maps; property (E.A.)

Citations: Zbl 1064.54055

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