A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type
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Date
2006
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Abstract
In this paper, we proved a common fixed point theorem for weakly compatible mappings in symmetric
spaces satisfying a contractive condition of integral type and a property (E.A) introduced in [M. Aamri,
D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math.
Anal. Appl. 270 (2002) 181–188]. Our theorem generalizes Theorem 2.2 of [M. Aamri, D. El Moutawakil,
Common fixed points under contractive conditions in symmetric spaces, Appl. Math. E-Notes 3 (2003)
156–162] and Theorem 2 of [M. Aamri, D. El Moutawakil, Some new common fixed point theorems under
strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181–188
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Keywords
Weakly compatible mappings, Common fixed point, Symmetric space