We extend the common fixed-point theorem established by Zhang and Song in 2009 to generalized (ψ, φ) f,g -weak contractions. Moreover, we give an example that illustrates the main result. Finally, some common fixed-point results are obtained for mappings satisfying a contraction condition of the integral type in complete metric spaces.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 11, pp. 1544–1554, November, 2011.
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Razani, A., Parvaneh, V. & Abbas, M. A common fixed point for generalized (ψ, φ) f,g -weak contractions. Ukr Math J 63, 1756–1769 (2012). https://doi.org/10.1007/s11253-012-0611-7
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DOI: https://doi.org/10.1007/s11253-012-0611-7