COMMON FIXED POINT THEOREMS FOR HYBRID MAPPINGS SATISFYING GENERALIZED CONTRACTIVE CONDITIONS

Volume 2, Issue 2, pp 136-145 http://dx.doi.org/10.22436/jnsa.002.02.08

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Authors

ABDELKRIM ALIOUCHE - Department of Mathematics, University of Larbi Ben M’Hidi, Oum-El-Bouaghi, 04000, Algeria..

Abstract

We prove common fixed point theorems in symmetric spaces for two pairs of hybrid mappings using the concept of T−weakly and S−weakly commuting mappings satisfying generalized contractive conditions which generalize theorems of Aamri and El Moutawakil [J. Math. Anal. Appl., 270 (2002), 181–188.], Aamri and El Moutawakil [Appl. Math. E-notes., 3 (2003), 156–162.] and Aliouche [J. Math. Anal. Appl., 322 (2006), 796–802.].

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Keywords

• Hybrid mappings
• T−weakly commuting
• property (E.A)
• common property (E.A)
• common fixed point
• symmetric space.

MSC

•  47H10
•  54H25

References

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