Peripheral Stem Cell Transplantation in Treating Patients With Hematologic Cancer

DISEASE CHARACTERISTICS: Patients with HLA identical family donors and any one of the following conditions documented by marrow aspiration and biopsy: -Acute leukemia refractory to induction treatment or after 1 or more relapses -Acute myeloid leukemia with t(9;22), -5/5q-, -7/7q-, and 11q23 involvement in first remission (not M4 or M5) -Acute lymphocytic leukemia with t(9;22) or t(4;11) in first remission -Myelodysplastic syndrome with greater than 5% bone marrow blasts -Chronic myeloid leukemia in accelerated phase or nonlymphoid blast crisis -Myeloma, chronic lymphocytic leukemia, non-Hodgkin's lymphoma, or Hodgkin's disease refractory to 2 lines of standard treatment or progression on standard treatment No evidence of active extramedullary disease PATIENT CHARACTERISTICS: Age: Any age Performance status: Karnofsky 70-100% Life expectancy: Greater than 8 weeks Hematopoietic: Not specified Hepatic: Bilirubin less than 2.0 mg/dL SGOT no greater than 4 times upper limit of normal and not increasing for 2-4 weeks prior to transplant Renal: Creatinine less than 2 times normal and not increasing for 2-4 weeks prior to transplant OR Creatinine clearance greater than 60 mL/min Cardiovascular: LVEF greater than 50% by MUGA Pulmonary: DLCO greater than 50% Other: Not HIV positive Not pregnant or nursing Fertile patients must use effective contraceptive PRIOR CONCURRENT THERAPY: See Disease Characteristics