Human Leukocyte Antigen (HLA) Class I Haplotype Mismatched Natural Killer Cell Infusions

The purpose of this research study is to examine the safety of infusing escalated doses of allogeneic (from a relative of the patient), enriched natural killer (NK) cells after autologous (from the patient) stem cell transplantation. The hypothesis is that the infusion of these NK cells early after an autologous stem cell transplant will help to eliminate and eradicate any residual cancerous cells that remain in the body and may have survived the chemotherapy or radiation.