SOME RESULTS ON FIXED POINTS IN B-METRIC SPACES THROUGH AN AUXILIARY FUNCTION

Abstract

In this paper, we introduce a novel category of function that we employ to show-case a fresh set of fixed point outcomes in the context of b-metric spaces for P_φ-contractions.Furthermore, we provide several examples to elucidate our principal result. The outcomeswe have obtained provide a broader scope of contraction mappings, such as the Kannan contraction, in a more general context.