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

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Authors

Hussain, Nawab
Roshan, Jamal Rezaei
Parvaneh, Vahid
Abbas, Mujahid

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SpringerOpen

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.

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Keywords

Coincidence point, Common fixed point, Dislocated metric space, b-Dislocated metric space, Dominating and dominated maps, Altering distance function

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Citation

Hussain, N., Roshan, J.R., Parvaneh, V. & Abbas, M. Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications. Journal of Inequalities and Applications 2013, 2013:486.