中文摘要：

研究了无约束极大极小问题．通过引入一个可微的辅助函数，利用广义投影技术产生下降搜索方向，结合Armjio非精确线搜索建立了一个广义梯度投影算法．在初始点任意的条件下，证明了算法的全局收敛性．

英文摘要：

In this work, unconstrained minimax problems are studied. By use of proposing a differentially auxiliary function and providing explicit search direction with the aid idea of generalized gradient project technique, a new algorithm with Armjio non-exact linear search is presented and its global convergence is obtained under arbitrary initial point condition.