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Zbl 1111.47046
Aliouche, A.
A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type.
(English)
[J] J. Math. Anal. Appl. 322, No. 2, 796-802 (2006). ISSN 0022-247X

The author considers weak compatible selfmaps of a symmetric space and proves a common fixed point theorem by using a contractive condition of integral type, generalizing results of {\it M.\,Aamri} and {\it D.\,El\,Moutawakil} [J.~Math.\ Anal.\ Appl.\ 270, No.\,1, 181--188 (2002; Zbl 1008.54030); Appl.\ Math.\ E-Notes 3, 156--162 (2003; Zbl 1056.47036)].
[Salvatore Sessa (Napoli)]
MSC 2000:
*47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
54H25 Fixed-point theorems in topological spaces
54E25 Semimetric spaces
47H09 Mappings defined by "shrinking" properties

Keywords: weak compatibility; symmetric space; common fixed point

Citations: Zbl 1008.54030; Zbl 1056.47036

Cited in: Zbl 1214.54031 Zbl 1213.54085 Zbl 1239.45010 Zbl 1213.54057 Zbl 1171.54342

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