On system of generalized vector variational inequalities

Authors:
S. H. Hou;H. Yu;G. Y. Chen
Affiliations:
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China;College of Economics and Business Administration, Chongqing University, Chongqing, China 400044;Institute of Systems Science, Chinese Academy of Science, Beijing, China
Venue:
Journal of Global Optimization
Year:
2008

Citing 4
Cited 0

Nested monotony for variational inequalities over product of spaces and convergence of iterative algorithms

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On vector variational inequalities

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System of vector equilibrium problems and its applications

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On Generalized Vector Equilibrium Problems

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Abstract

In this paper, we introduce a new system of generalized vector variational inequalities with variable preference. This extends the model of system of generalized variational inequalities due to Pang and Konnov independently as well as system of vector equilibrium problems due to Ansari, Schaible and Yao. We establish existence of solutions to the new system under weaker conditions that include a new partial diagonally convexity and a weaker notion than continuity. As applications, we derive existence results for both systems of vector variational-like inequalities and vector optimization problems with variable preference.