New fixed point results on $\alpha_L^{\psi}$-rational contraction mappings in metric-like spaces

Abstract

In this paper we discuss, consider, generalize and improve some recent results for $\alpha_L^{\psi}-$rational contractive and cyclic $\alpha
_L^{\psi}-$rational contractive mappings defined in $d_l-$complete metric-like spaces (dislocated metric spaces by some authors). We have showed that
established results for both types of contractive mappings are in the fact equivalent. By using this result obtained so far we discuss some examples
at the end of this paper. All these examples show the advantage of our results.