Stability in a many-to-one job market with general increasing functions

We consider an occupation market in which preferences of members are treated as non linear general increasing functions. The arrangement of members is separated into two non over-lapping sets, set of workers and set of firms. We consider that firms have vacant posts. Every worker needs a job and firms have opportunity to contract more than one workers. A worker can work for just in at most one firm. We demonstrate the existence of pairwise stability for such a business sector. Our model is the augmentation of the Ali and Farooq [3] model by considering non linear valuations and bounded side payments.