Generalization of an existence theorem for complementarity problems

• Autores: Qingjie Hu, Yu Chen, Jingtong Wang, Zi-sheng Ouyang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 253, Nº 1, 2013, págs. 158-162
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.04.017
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• Resumen

  • In this paper, we present a new notion of exceptional d-regular mapping, which is a generalization of the notions of exceptional regular mapping and d-regular mapping. By using the new notion, we establish a new existence result for complementarity problems.

    Our results only generalize Karamardian�s and Zhao�s existence results (Theorem 3.1 in Karamardian (1972) [5], Theorem 3.8 in Harker et al. (1990) [2], Theorem 4.1 in Zhao and Isac (2000) [6], Theorem 3.1 in Zhao (1999) [13]). In our analysis, the notion of a new generalized exceptional family of elements for complementarity problems plays a key role.