期刊
TAIWANESE JOURNAL OF MATHEMATICS
卷 13, 期 2B, 页码 777-788出版社
MATHEMATICAL SOC REP CHINA
DOI: 10.11650/twjm/1500405402
关键词
Mixed complementarity problem; Multi-valued mappings; Z-mappings; Gauss-Seidel algorithm
类别
The complementarity problem (CP) is one of the basic topics in nonlinear analysis. Since the constraint set of CP is a convex cone or a cone segment, weak order monotonicity properties can be utilized for its analysis instead of the usual norm monotonicity ones. Such nonlinear CPs with order monotonicity properties have a great number of applications, especially in economics and mathematical physics. Most solution methods were developed for the single-valued case, but this assumption seems too restrictive in many applications. In the paper, we consider extended concepts of multi-valued Z-mappings and examine a class of generalized mixed complementarity problems (MCPs) with box constraints, whose cost mapping is a general composition of multi-valued mappings possessing Z type properties. We develop a Gauss-Seidel algorithm for these MCPs. Some examples of computational experiments are also given.
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