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. ©2013 Hussain et al.; licensee Springer.
CITATION STYLE
Hussain, N., Roshan, J. R., Parvaneh, V., & Abbas, M. (2013). Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications. Journal of Inequalities and Applications, 2013. https://doi.org/10.1186/1029-242X-2013-486
Mendeley helps you to discover research relevant for your work.