He, Fei; Shang, Yufeng; Liang, Xin; Tao, Jianwu A semi-interior point homotopy method for solving equilibrium programming problems. (Chinese. English summary) Zbl 1313.90254 J. Jilin Univ., Sci. 52, No. 3, 470-474 (2014). Summary: The authors present a semi-interior point combined homotopy method for solving equilibrium programming problems with both inequality and equality constraints. Under some assumptions, existence, boundedness and convergence of a smooth path from any point in \(\mathbb R^n\) is proven. Feasibility and efficiency of a semi-interior point combined homotopy method for solving equilibrium programming problems with both inequality and equality constraints are also proved by numerical examples. MSC: 90C51 Interior-point methods 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) Keywords:non-interior homotopy method; equilibrium programming; global convergence PDFBibTeX XMLCite \textit{F. He} et al., J. Jilin Univ., Sci. 52, No. 3, 470--474 (2014; Zbl 1313.90254) Full Text: DOI