Fixed point theorems for new J-type mappings in modular spaces

In this paper, we introduce \rho-altering J-type mappings in modular spaces. We prove some fixed point theorems for \rho-altering and \rho-altering J-type mappings in modular spaces. We also furnish illustrative examples to express relationship between these mappings. As a consequence, the results are applied to the existence of solution of an integral equation arising from an ODE system.

Keywords:

Modular space , rho-Altering mapping , rho-Asymptotically regular mapping , rho-J-type mapping , rho-altering J-type mapping , Integral equation