一类算子方程最小最大耦合拟解的存在性

On the Existence of the Coupled Minimal and Maximal Quasi-solutions for a Class of Operator Equations

利用半序的方法,研究了巴拿赫空间(Banach space)中一类非线性算子方程的最小最大耦合拟解.在得到的存在性定理中,减弱了方程中算子的连续性,同时对锥的性质未作限制,其结论具有更广的适用范围.

By semi-order method the coupled minimal and maximal quasi-solutions for a class of nonlinear operator equations in Banach spaces are studied.And in the existence theorem thus obtained,the continuity of the operator in the equations is found weakened,and since the properties of the cone are left unconfined,the findings shall have still wider applicability.