Well-posedness of mixed variational inequalities, inclusion problems and fixed point problems

作者：Fang, Ya Ping; Huang, Nan Jing; Yao, Jen Chih^*

来源：Journal of Global Optimization, 2008, 41(1): 117-133.

DOI：10.1007/s10898-007-9169-6

• mixed variational inequality
• inclusion problem
• fixed point problem
• well-posedness

We generalize the concept of well-posedness to a mixed variational inequality and give some characterizations of its well-posedness. Under suitable conditions, we prove that the well-posedness of a mixed variational inequality is equivalent to the well-posedness of a corresponding inclusion problem. We also discuss the relations between the well-posedness of a mixed variational inequality and the well-posedness of a fixed point problem. Finally, we derive some conditions under which a mixed variational inequality is well-posed.

• 出版日期2008-5
• 单位四川大学; 中山大学