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On the existence of solutions to systems of vector quasi-optimization problems

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  • Nguyen Xuan Tan

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. Copyright Springer-Verlag 2004

Suggested Citation

  • Nguyen Xuan Tan, 2004. "On the existence of solutions to systems of vector quasi-optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(1), pages 53-71, September.
    • Handle: RePEc:spr:mathme:v:60:y:2004:i:1:p:53-71
    DOI: 10.1007/s001860300334
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