  In this article we extend the notion of orthogonal metric space to weak
orthogonal metric space. Then we establish fixed point results for a mapping
satisfying a more general contraction condition. Several nontrivial examples
are given in support of our obtained results. Moreover, we are able to answer
of the open question posed by Eshaghi et al. [On orthogonal sets and Banach
fixed point theorem, Fixed Point Theory, 18(2017), 569-578].
