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Archived Comments for: Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces

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  1. Remark

    Bessem Samet, Ecole Supérieure des Sciences et Techniques de Tunis

    3 September 2013

    If we denote by beta((x,y),(u,v))=alpha((x,y),(u,v)) if (x,y) is comparable with (u,v) and 0 otherwise, then the condition (3.41) becomes a beta-psi contraction. From the mixed monotone property of F, clearly F is beta-admissible. So it will be more interesting and more general to consider condition (3.41) without order and to obtain the ordered case as an immediate consequence.

    Competing interests

    No competing interest.