An intraluminar method of treating a reflux disease in a patient by implanting a device comprising a non-encircling implantable movement restriction device that, when implanted in a patient, restricts the movement of the cardiac notch in relation to the diaphragm muscle, preventing the cardia from sliding through the esophageal hiatus. The intraluminar method comprises introducing an instrument through the esophagus and into the stomach of the patient, introducing the non-encircling implantable movement restriction device through the esophagus using said instrument, affixing the non-encircling movement restriction device to the fundus wall, such that it does not encircle the esophagus or stomach, thereby preventing the cardia from sliding through the esophageal hiatus and thus reducing reflux disease without encircling the esophagus or stomach.