Document Type : Research Paper

Authors

• Esmaiel Feizi
• Zahra Hossseini

Mathematics Department, Bu-Ali Sina University, P.O. Box 65174-4161, Hamadan, Iran

Abstract

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