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Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems

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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… Click to show full abstract

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.

Keywords: well posedness; simultaneous generalized; generalized vector; system simultaneous; vector quasi; quasi equilibrium

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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