System of Generalized Vector Quasi-Equilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings

Author: Lin Lai-jiu  

Publisher: Springer Publishing Company

ISSN: 0925-5001

Source: Journal of Global Optimization, Vol.34, Iss.1, 2006-01, pp. : 15-32

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Abstract

In this paper, we establish the existence theorems of the generalized vector quasi-equilibrium problems. From some existence theorem, we establish fixed point theorems for a family of lower semicontinuous or nonexpansive multivalued mappings. We also obtain the existence theorems of system of mixed generalized vector variational-like inequalities and existence theorems of the Debreu vector equilibrium problems and the Nash vector equilibrium problems.