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We first introduce a new concept of b -dislocated metric space as a generalization of dislocated metric space and analyze different properties of such spaces. A fundamental result for the convergence of sequences in b -dislocated metric spaces is established and is employed to prove some common fixed point results for four mappings satisfying the generalized weak contractive condition in partially ordered b -dislocated metric spaces. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results. MSC: 47H10, 54H25.
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Hussain et al. (2013) studied this question.
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