关于Banach空间上非线性Lipschitz算子的几个结果

Some Results of Nonlinear Lipschitz Operator

引入非线性Lipschitz算子的Lipschitz拟对偶算子的概念,从而证明了非线性Lipschitz算子的“*”运算的线性性,作为应用,最后证明了非线性Lipschitz算子的共呜定理.

The concept of Lipschitz quasi-dual operator of nonlinear Lipschitz operator is introduced; and some results of nonlinear Lipschitz operators are given; that is, the ＂ ＊ ＂operation depended on nonlinear Lipschitz operators is linear; and the resonance theorem for nonlinear Lipschitz operators still hold.