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A Nonlinear Scalarization Function and Generalized Quasi-vector Equilibrium Problems |
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| Authors: | |
| Institution: | (1) Institute of Systems Science, Chinese Academy of Sciences, Beijing, 100080, China;(2) Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong;(3) School of Economics and Management, Tsinghua University, Beijing, 100081, China |
| Abstract: | Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In this paper we introduce a nonlinear scalarization function for a variable domination structure. Several important properties, such as subadditiveness and continuity, of this nonlinear scalarization function are established. This nonlinear scalarization function is applied to study the existence of solutions for generalized quasi-vector equilibrium problems. This paper is dedicated to Professor Franco Giannessi for his 68th birthday |
| Keywords: | existence generalized quasi-vector equilibrium scalarization method |
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