Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems.
An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which improves Theorem 3.1 of the work of Ansari et al. (J. Optim. Theory Appl. 127:27-44, 2005). Moreover, a definition of Hadamard-type well-posedness for (SSGVQEP) is introduced and sufficient conditions for Hadamard well-posedness of (SSGVQEP) are established.
Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 610074 China.
Wenyan
W
Zhang
College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067 China.
Jing
J
Zeng
Hadamard well-posedness; demicontinuity; existence theorem; natural quasi-convexity