Moreover,by using the Hahn-Banach separation theorem on product spaces,we give Lagrange multiplier theorems on Henig proper efficient solutions of vector optimization problems involving vector-valued maps and set-valued set maps with constraint.

By using the alternative theorem,the ε-Lagrange multiplier theorems were derived.

Several electricity problems are analyzed by use of Lagrange multiplier method, and some meaningful results are obtained.

The Lagrange multiplier method is derived from the view of geometry.

The Lagrange multiplier method is one of the approaches for determining conditional extremum of function in Advanced Mathematics.

A explaination of λ in Lagrange multipliers;

A learning algorithm of recurrent functional network is proposed,which adopted Lagrange multipliers as an auxiliary function and sums up the learning process of function parameters as solving a series of linear eguations.

This paper presented a new kind of functional network model which is based on orthogonal functions,a learning algorithm of orthogonal functional network was proposed,the learning of function parameters uses orthogonal function characteristic and Lagrange multipliers by means of auxiliary function and solving a system of linear equation obtains functions parameters.

In this paper,we use the Lagrangian multiplier method to obtain the least square estimate of the regression parameters on generalized linear model under the linear restriction.

In this paper, we use Lagrangian multiplier method to change the constrained extreme value of a class of (Multivariate) Symmetric Functions into unconclitioned extreme value of simple function, The method not only avoids solving the very difficult and complicated soultions of the system of the Fixed-point, but also simplities the solving of the problem.