Chemotherapy Followed by Peripheral Stem Cell Transplantation in Treating Metastatic Triple-negative Breast Cancer

Inclusion Criteria: * Eastern Cooperative Oncology Group (ECOG) 0 or 1. * Histologically or cytologically proven diagnosis of breast cancer with evidence of locally recurrent or metastatic disease. * Documentation of estrogen and progestin receptor (ER/PR) negative status and HER2/neu receptor negative status (ie, FISH negative or immunohistochemistry 0 or +1). * Obtained complete response or Good partial response after first line chemotherapy. * Normal organ function required prior to study entry. * Willingness to comply with treatment plans and other study procedures. Exclusion Criteria: * Uncontrolled central nervous system (CNS) involvement with disease * Fertile women unwilling to use contraceptive techniques during treatment * Females who are pregnant * Organ dysfunction. * Patients may not be receiving any other investigational agents.