A New Version of Schauder and Petryshyn Type Fixed Point Theorems in S-Modular Function Spaces

Common Fixed Point Theorems of Integral Type in Modular Spaces

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 ...

common fixed point theorems of integral type in modular spaces

Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction

In the present paper, we introduces the notion of integral type contractive mapping with respect to ordered S-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered S-metric space. Moreover, we give an example to support our main result.

Fixed point theorems in modular spaces

In this paper we establish new fixed point theorems for modular spaces. AMS subject classifications: 46A32