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.
