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General existence theorems, alternative theorems and applications to minimax problems

โœ Scribed by Phan Quoc Khanh; Nguyen Hong Quan


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
673 KB
Volume
72
Category
Article
ISSN
0362-546X

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โœ Yunbin Zhao; Defeng Sun ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

which was extensively studied in the last several decades. In the case when K = R n + (the nonnegative orthant), problems (2) and (3) are further reduced to the following generalized complementarity problem (GCP): and complementarity problem (NCP): respectively. Given functions f; g and h, the exi

Coincidence and maximal element theorems
โœ Mircea Balaj ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 286 KB

In this paper we obtain first a very general coincidence theorem. From this we derive a new coincidence theorem and two alternative theorems concerning existence of maximal elements. Applications of these results to generalized equilibrium problems and minimax inequalities are given in the last sect