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Zbl 0852.54019
Wu, Xian; Shen, Shikai
A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications.
(English)
[J] J. Math. Anal. Appl. 197, No.1, 61-74 (1996). ISSN 0022-247X

A selection theorem is proved which contains as a particular case results of {\it N. C. Yannelis} and {\it N. D. Prabhakar} [J. Math. Econ. 12, 233-245 (1983; Zbl 0536.90019)] and of {\it X. P. Ding, W. K. Kim, K.-K. Tan} [Bull. Aust. Math. Soc. 46, 205-212 (1992; Zbl 0762.47030)]. Applying this selection, a fixed point theorem, a nonempty intersection theorem, some existence theorems of solutions for generalized quasi-variational inequalities and some equilibrium existence theorems for abstract economies are proved.
[W.Ślȩzak (Bydgoszcz)]
MSC 2000:
*54C65 Continuous selections
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
49J40 Variational methods including variational inequalities
91B50 Equilibrium in economics

Keywords: generalized quasi-variational inequalities; equilibrium

Citations: Zbl 0536.90019; Zbl 0762.47030

Cited in: Zbl 1029.47031 Zbl 0909.54011

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