Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications

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Peer-Reviewed Research
  • SDG 17
  • SDG 8
  • Abstract:

    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.