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.

کلیدواژه ها:

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