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Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems

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Abstract

This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector quasi-equilibrium problems are established.

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Correspondence to S. J. Li.

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This research is partially supported by the Postdoctoral Fellowship Scheme of The Hong Kong Polytechnic University and the National Natural Science Foundation of China.

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Li, S.J., Teo, K.L., Yang, X.Q. et al. Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems. J Glob Optim 34, 427–440 (2006). https://doi.org/10.1007/s10898-005-2193-5

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  • DOI: https://doi.org/10.1007/s10898-005-2193-5

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