New Fixed Point Results on α Lψ -Rational Contraction Mappings in Metric-Like Spaces,

Abstract

We present some new results for α ψ L−rational contractive and cyclic α ψ L−rational contractive mappings defined in dl−complete metric-like spaces (also known as dislocated metric spaces). 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.