This clinical trial studies peripheral blood hemapoietic stem cell mobilization with the combination of bortezomib and G-CSF (filgrastim) in multiple myeloma and non-Hodgkin lymphoma patients. Giving chemotherapy before a peripheral stem cell transplant stops the growth of cancer cells by stopping them from dividing or killing them. After treatment, stem cells are collected from the patient's blood and stored. The stem cells are then returned to the patient to replace the blood-forming cells that were destroyed by the chemotherapy.