Generalized mixed quasi-complementarity problems in topological vector spaces

• Autores: Ali P. Frajzadeh, Muhammad Aslam Noor
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 49, Nº 4, 2008, págs. 525-531
• Idioma: inglés
• DOI: 10.1017/s1446181108000084
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• Resumen

  • In this paper, we introduce and consider a new class of complementarity problems, which are called the generalized mixed quasi-complementarity problems in a topological vector space. We show that the generalized mixed quasi-complementarity problems are equivalent to the generalized mixed quasi variational inequalities. Using a new type of KKM mapping theorem, we study the existence of a solution of the generalized mixed quasi-variational inequalities and generalized mixed quasi-complementarity problems. Several special cases are also discussed. The results obtained in this paper can be viewed as extension and generalization of the previously known results.