A singularly perturbed problem for a class of two dimentional nonlinear systems with generalized turning points is studied.

In ordered linear spaces,generalized vector Fritz-John saddle point and generalized vector Kuhn-Tucker saddle point of set-valued optimization problems with generalized inequality constraints were defined,and the relations between them were established.

In ordered linear spaces,generalized vector Fritz-John saddle point and generalized vector Kuhn-Tucker saddle point of set-valued optimization problems with generalized inequality constraints were defined,and the relations between them were established.

A new type of meshfree method is developed by incorporating the generalized node which originated from manifold method with the conventional meshfree method.

This paper explains the basic principle of composite element method and introduces the concept of virtual node and generalized node used in the hierarchical finite element method.

Based on the composition of displacement function on manifold element,a new method of constraints treatment of fixed boundary is proposed;and it changes the constraints treatment of fixed boundary into the constraints treatment of generalized node;and the constraints condition will be met strictly by using special cover.

Super efficient point in vector optimization problems with set-valued maps characterized by generalized saddle point;

By using the properties of generalized saddle points and a separation theorem,a property of generalized saddle points is proved with set separation.

A kind of generalized interior point in linear topological space;