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

نویسندگان
Feizi, Esmaiel ID 1
Hossseini, Zahra ID 2

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

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

doi
10.22075/ijnaa.2019.1816.1475
چکیده

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.

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