Applied Mathematics & Information Sciences

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The goal of this manuscript is to present a new contractive mapping, namely a C ́iric ́-type rational (α∗,η∗,Λ,Υ)-multi- valued contraction mapping. In the framework of ordinary metric spaces, several fixed point results for semi α∗-admissible multi- valued contraction mappings with respect to η are also given. In addition, we have an example to back up our research. Finally, several fixed point results with a graph were discussed to improve the effectiveness of our contraction. In the same way, our findings expand, generalize and unify a large number of solid articles in the same direction.

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