Well-posed symmetric vector quasi-equilibrium problems

Journal of inequalities and applications

Xicai Deng¹ 

关键词: well-posedness;    bounded rationality model;    nonlinear scalarization function;    symmetric vector quasi-equilibrium problems;    sufficient conditions;    91A26;    49K40;    90C31;   

DOI  :  10.1186/s13660-015-0749-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider well-posedness of symmetric vector quasi-equilibrium problems. Based on a nonlinear scalarization technique, we first establish the bounded rationality model M for symmetric vector quasi-equilibrium problems, and then introduce a well-posedness concept for symmetric vector quasi-equilibrium problems, which unifies its Hadamard and Tykhonov well-posedness. Finally, sufficient conditions on the well-posedness for symmetric vector quasi-equilibrium problems are given.

【 授权许可】

CC BY