A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type |
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Authors: | A. Aliouche |
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Affiliation: | Department of Mathematics, University of Larbi Ben M'Hidi, Oum-El-Bouaghi 04000, Algeria |
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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 |
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