Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators
https://doi.org/10.1016/j.na.2007.02.032Publisher, magazine: ,
Publication year: 2008
Lưu Trích dẫn Chia sẻAbstract
It is well known that a vector variational inequality can be a very efficient model for use in studying vector optimization problems. By using the Ky Fan fixed point theorem and the scalarization method we will prove some existence theorems for strong solutions for generalized vector variational inequalities where discontinuous and star-pseudomonotone operators are involved. Our results can be applied to the study of the existence of solutions of vector optimal problems. Some examples are given and analyzed.
Tags: generalized vector equilibrium problem; generalized vector variational inequality; upper semicontinuity; \(C\)-convexity; \(C\)-upper semicontinuity; star-pseudomonotonicity
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