SOME CYCLIC COUPLED CONTRACTION RESULTS IN MULTIPLICATIVE METRIC SPACES WITH AN APPLICATION TO THE LEBESGUE INTEGRAL EQUATIONS

The primary objective of this research work is to establish strong coupled fixed point results in multiplicative metric spaces using maximum and product types of cyclic coupled contractions. In support of our main results, we present trivial and nontrivial illustrative examples within the space. Furthermore, an application of the Lebesgue integral equation is provided in aid of the proposed work on multiplicative metric spaces. It has the potential to be extended in many directions in the context of different types of metric spaces, with different types of contractive conditions for nonlinear mappings, and with the application of different types of integral equations.