On the existence of solutions to systems of vector quasi-optimization problems
https://doi.org/10.1007/s001860300334Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
Some sufficient conditions for the existence of solutions to systems of vector quasi-optimization problems are given. These systems also include the systems of quasi-variational inequalities, quasi-equilibrium problems etc. As special case, we obtain some extensions for minimax theorems, general vector optimization problems, general vector quasi-optimization problems, quasi-equilibrium problems... concerning vector functions. From these we generalize some well-known results obtained by Blum and Oettli [4], Park [19], Chan and Pang[6], Parida and Sen [18], Browder and Minty [16], Ky Fan [8], etc.
Tags: Systems of quasi-optimization problems, Vector optimizations, Quasi-equilibrium problems, Ideal points, Upper and lower C, convex multi-valued mappings, Strictly C-quasi-convex and Properly C-quasi-convex multi-valued mappings, Upper and lower C-continuous multi-valued mappings
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