Lapatinib and Ixabepilone in Treating Patients With Advanced Solid Tumors

Inclusion Criteria: * Patients must have cytologically or histologically proven advanced solid tumors for which there is no known standard therapy available or are not eligible for standard therapy because of their performance status, or have progressed after standard therapy. * Patients must have measurable or evaluable disease * Patients must be 18 years of age or older * Patients must have a Zubrod performance status of 0-2 * Patients must have an estimated survival of at least 3 months * Any prior chemotherapy must have been completed at least 3 weeks prior to start of this protocol and all side effects (except alopecia) resolved to grade 1 or less. Any prior radiation must have been completed at least 2 weeks prior to start of therapy. Patients must have completed prior trastuzumab (Herceptin) at least 4 weeks prior to start of protocol therapy * Patients must have adequate renal function * Patients must have adequate liver function * Patients must have a pretreatment granulocyte count of \>1500/mm3 and platelet count of \>100 000/mm3. * Patients must have a cardiac ejection fraction within the institutional range of normal as measured by 2-D echocardiogram or MUGA scan. * All patients must give informed consent * Patients must be able to take and retain oral medication * Patients of reproductive potential must agree to use an effective contraceptive method while on treatment as the effects of these drugs on the unborn fetus are unknown. Exclusion Criteria: * Patients may not have previously received lapatinib, ixabepilone or any other EGFR-TKI targeted agent. Prior trastuzumab (Herceptin) is allowed. * Patients may not pregnant or breastfeeding as the effects of these drugs on the unborn fetus are unknown. * Patients with symptomatic brain metastasis or still requiring steroids and anticonvulsants may not participate. Patients with asymptomatic treated brain metastasis (surgical resection or radiotherapy) may be included if they are neurologically stable and have been off steroids for at least 2 weeks. * Patients with pre-existing neuropathy \> grade 2 may not participate. * Patients with uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements, will be excluded. * History of other diseases, metabolic dysfunction, physical examination finding or clinical laboratory finding giving reasonable suspicion of a disease or condition that contraindicates the use of an investigational drug or that might affect the interpretation of the results of the study or render the patient at high risk from treatment complications. * Gastrointestinal tract disease resulting in an inability to take oral medication or a requirement for IV alimentation, or prior surgical procedures affecting absorption. * HIV-positive patients receiving combination antiretroviral therapy are excluded from the study because of possible pharmacokinetic interactions with lapatinib. Appropriate studies will be undertaken in patients receiving combination antiretroviral therapy when indicated. * Patients requiring oral anticoagulants are eligible provided there is appropriate close INR monitoring in place. * Prior radiation must not have included more than 30% of bone marrow containing areas * Any prior, severe history of hypersensitivity reaction to a drug formulated in CremaphorEL * Adherence to the requirements for concomitant medications classified as CYP3A4 inducers or inhibitors, or gastric pH modifiers