Unification of several distance functions and a common fixed point result
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Date
Authors
Abbas, Mujahid
Ali, Bashir
Suleiman, Yusuf I.
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen
Abstract
In this work, we initiate the notions of dislocated-Ab-quasi-metric and
Ab-quasi-metric-like spaces. Then we establish the existence of a common fixed point
of weakly compatible mappings satisfying a contractive condition on a closed
neighborhood of dislocated Ab-quasi-metric spaces. Some examples are given to
show that these spaces are more general than various known comparable metric
spaces. Our result unify, complement, and generalize various known results in the
literature.
Description
Keywords
Dislocated-quasi-metric spaces, A-metric spaces, Coincidence points, Fixed points, Weakly compatible mappings
Sustainable Development Goals
Citation
Abbas, M., Ali, B. & Suleiman, Y.I. Unification of several distance functions and a common fixed point result. Fixed Point Theory and Applications (2016) 2016: 6. doi:10.1186/s13663-015-0494-z.