Yan Xin-li. The Fixed Point and Eigenelement of Sum and Product about Concave and Convex Operators[J]. Applied Mathematics and Mechanics, 1988, 9(10): 893-897.
Citation: Yan Xin-li. The Fixed Point and Eigenelement of Sum and Product about Concave and Convex Operators[J]. Applied Mathematics and Mechanics, 1988, 9(10): 893-897.

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

  • Received Date: 1987-06-21
  • Publish Date: 1988-10-15
  • 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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