A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
type: Item
instance of: scholarly article
title: A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
zbMATH Open document ID: 0852.54019
author: Xian Wu
author: Shikai Shen
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-12-11T00:00:00Z
review text: A selection theorem is proved which contains as a particular case results of \textit{N. C. Yannelis} and \textit{N. D. Prabhakar} [J. Math. Econ. 12, 233-245 (1983; Zbl 0536.90019)] and of \textit{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.
Mathematics Subject Classification ID: 54C65
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 91B50
zbMATH DE Number: 902427
zbMATH Keywords: generalized quasi-variational inequalities
zbMATH Keywords: equilibrium
reviewed by: Włodzimierz Ślęzak
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0007
OpenAlex ID: W1995456010
DOI: 10.1006/JMAA.1996.0007
description: scientific article; zbMATH DE number 902427