Fixed Point Theorems in Controlled Multiplicative Metric-Like Space

Abstract

In this paper, we have introduced a new concept in metric spaces called Controlled Multiplicative Metric-like Spaces. We have established fixed point theorems in this space by applying contraction. Additionally, we present a non-trivial example that demonstrates the existence of fixed points within this new space. The findings contribute to the ongoing development of fixed point theory in generalized metric-like structures and open avenues for further research in related analytical and applied domains.
Mathematical Subject Classification: Primary 47H10; Secondary 54H25