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

  • Authors:

  • Lai-Jiu Lin

  • Affiliations:

  • Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2006

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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.