FunctionWithArgumentsComponent.tsx

export class FunctionWithArgumentsComponent extends React.Component {
  doSomethingWithColor = color => () => {};
  style = { color: this.props.color };
  
  render() {
    return <View style={this.style} onPress={this.doSomethingWithColor(this.props.color)} />;
  }
}

// -- Or as a stateless functional component --

const doSomethingWithColor = color => () {};
const style = {};

export const FunctionWithArgumentsSFC: React.SFC = ({ color }) => {
  style.color = color;
  
  return <View style={style} onPress={doSomethingWithColor(color)} />;
};