Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications
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Date
Authors
Hussain, Nawab
Roshan, Jamal Rezaei
Parvaneh, Vahid
Abbas, Mujahid
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
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.