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On Vector Quasi—Equilibrium Problems

  • Qamrul Hasan Ansari
  • Jen-Chih Yao
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 68)

Abstract

In this paper, we consider the vector quasi-equilibrium problem and prove some existence results for its solution with or without generalized pseudomonotonicity assumption. As consequences of our results, we also derive some existence results for a solution to the vector quasi-optimization problem, vector quasi-saddle point problem and vector quasi-variational inequality problem.

Keywords

Vector quasi-equilibrium problem vector quasi-variational inequality problem vector quasi-optimization problem vector quasi-saddle point problem pseudomonotonicity fixed point theorem one-person game theorem 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Qamrul Hasan Ansari
    • 1
  • Jen-Chih Yao
    • 2
  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia
  2. 2.Department of Applied MathematicsNational Sun Yat-sen UniversityKaohsiungTaiwan, ROC

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