Banach空间中一类(η,θ,δ)-伪单调映象变分不等式解的存在性研究

EXISTENCE OF SOLUTIONS FOR VARIATIONAL-LIKE INEQAULITIES WITH(η,θ,δ)-PESUDOMONOTONE MAPPINGS IN BANACH SPACES

在Banach空间中,研究了一类非线性变分不等式问题,在一定条件下利用KKM技巧建立了相应的变分不等式解的存在性定理。

Some nonlinear variational-like ineqaulities in Banach spaces are studied.We also introduced the concept of（η,θ,δ）-pesudomonotonicity-type set-value mappings.By using the KKM technique,the existence results for some variational-like ineqaulities are established.