凹凸算子和与积的不动点及固有元

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The Fixed Point and Eigenelement of Sum and Product about Concave and Convex Operators

摘要: 本文获得线性半序空间正锥上α凹与-α凸算子的和与积存在不动点的充分条件,并给出了迭代程序与误差估计.还讨论了固有值与固有元之间的关系.

Abstract: In this paper, we obtain the sufficient conditions under which there exists the fixed point of sum and product about α concave and-α convex operators in the positive cone of linear semi-order space, and the iterative procedure and error estimate can be given. The relation between eigenvalue and eigenelement will also be studied in this paper.

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