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

Document Type : Research Paper


1 University of Buali Sina

2 Bu-Ali Sina University


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.