Abstract.
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.
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Manuscript received: January 2003/Final version received: October 2003
The author was partially supported by the Fritz-Thyssen Foundation from Germany for the three month stay at the Institute of Mathematics of the Humboldt University in Berlin and the Institute of Mathematics of the Cologne University.
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Tan, N. On the existence of solutions to systems of vector quasi-optimization problems. Math Meth Oper Res 60, 53–71 (2004). https://doi.org/10.1007/s001860300334
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DOI: https://doi.org/10.1007/s001860300334