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

Nguyen Xuan Tan

Mathematical Methods of Operations Research, 2004, vol. 60, issue 1, 53-71

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

Keywords: 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 (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/s001860300334

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