The purpose of this study is to look at the effects of lucitanib in cancer patients whose cancers harbor aberrations in FGFR, VEGFR, PDGFR or other markers predicted to be sensitive to lucitanib. This study will also look for biomarkers in samples of blood and tumor tissue to identify patients most likely to respond to lucitanib. Biomarkers are substances such as genetic material (DNA and RNA) and proteins found in blood and tumor tissue that might show if a cancer patient will respond or not respond to a drug.