Such termination of service of an employee as per the appointment terms is termed as Discharge Simpliciter. The Bombay High Court recently considered a matter involving the discharge of a District Judge as legal and valid. In Ajay Ramesh Dinode vs The State Of Maharashtra decided on 30th January 2020 it was held that "....... the impugned order was passed taking into consideration the overall performance, conduct and the suitability of the petitioner for the job. While taking such decision neither notice is required to be given to the petitioner nor opportunity of being heard is required to be given, since the case of the petitioner is not of removal or it cannot be termed as stigmatic/punitive, the same is of simple discharge of petitioner from service. It cannot be termed as removal for any misconduct or on the ground of indiscipline. While judging the performance of the petitioner, overall suitability, performance record, so also reports from higher authorities were called and were looked into before arriving at the decision of discharging the petitioner from service. In this view of the matter also no fault can be found with the impugned decision."
So there is no issue in issuing an order of discharge, provided there is an overall assessment of the suitability on the one hand and the termination order is simple and is not indicative of any action based on misconduct. Indeed discharge simpliciter shall not be used as an easier option to avoid holding enquiry.
As suggested above, the better option is to seek resignation, but if the employee is recalcitrant, the discharge could be considered.