@article{fang_wu_birbil_2007, title={Solving variational inequalities defined on a domain with infinitely many linear constraints}, volume={37}, ISSN={["1573-2894"]}, DOI={10.1007/s10589-007-9013-4}, abstractNote={We study a variational inequality problem whose domain is defined by infinitely many linear inequalities. A discretization method and an analytic center based inexact cutting plane method are proposed. Under proper assumptions, the convergence results for both methods are given. We also provide numerical examples to illustrate the proposed methods.}, number={1}, journal={COMPUTATIONAL OPTIMIZATION AND APPLICATIONS}, author={Fang, Shu-Cherng and Wu, Soonyi and Birbil, S. Ilker}, year={2007}, month={May}, pages={67–81} } @article{birbil_fang_han_2004, title={An entropic regularization approach for mathematical programs with equilibrium constraints}, volume={31}, ISSN={["1873-765X"]}, DOI={10.1016/S0305-0548(03)00176-X}, abstractNote={A new smoothing approach based on entropic regularization is proposed for solving a mathematical program with equilibrium constraints (MPEC). With some known smoothing properties of the entropy function and keeping real practice in mind, we reformulate an MPEC problem as a smooth nonlinear programming problem. In this way, a difficult MPEC problem becomes solvable by using available nonlinear optimization software. To support our claims, we use an online solver and test the performance of the proposed approach on a set of well-known test problems.}, number={13}, journal={COMPUTERS & OPERATIONS RESEARCH}, author={Birbil, SI and Fang, SC and Han, JY}, year={2004}, month={Nov}, pages={2249–2262} } @article{birbil_fang_2003, title={An electromagnetism-like mechanism for global optimization}, volume={25}, ISSN={["0925-5001"]}, DOI={10.1023/A:1022452626305}, number={3}, journal={JOURNAL OF GLOBAL OPTIMIZATION}, author={Birbil, SI and Fang, SC}, year={2003}, month={Mar}, pages={263–282} }