Banach空间内涉及H-η-单调算子的参数广义隐拟似变分包含组(英文)

在一致光滑Banach空间内引入和研究了一类新的涉及H-η-单调算子的参数广义隐拟似变分包含组.利用H-η-单调算子的豫解算子技巧,研究了参数广义隐拟似变分包含组解集的性质和灵敏性分析.在适当假设下证明了参数广义隐拟似变分包含组的解集是非空闭的和关于参数是Lipschitz连续的.这些结果是新的并且改进和推广了该领域的很多相应已知结果.

System of Parametric Generalized Implicit Quasi-variational-like Inclusions Involving H-η-monotone Operators in Banach Spaces

In this paper, a new system of parametric generalized implicit quasi-variational-like inclusions involving H-η-monotone operators is introduced and studied in uniformly smooth Banach spaces. By using the resolvent operator technique of H-η-monotone operators, we study the behavior and sensitivity analysis of solution set of the system of parametric generalized implicit quasi-variational-like inclusions. Under suitable assumptions, we prove that the solution set of the system of parametric generalized implicit quasi-variational-like inclusions is nonempty, closed and Lipschitz continuous with respect to the parameters. Our results are new, and improve and generalize some corresponding known results in this field.