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

Yan Xin-li

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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.

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.

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

Yan Xin-li

Xi'an Institute of Metallurgy and Construction Eng., Xi'an

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

Abstract

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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References(8)

References

[1]	Potter, A.J, B.,A pplications of Hilbert's projective metric to certain classes of non-ho mogeneous operators,Quart, J, Math.,Oxford,28, 2(1977),93-99,
[2]	万伟勋,映射压缩的条件与Banach型不动点定理,数学学报,27, 1 (1984), 36-62,
[3]	秦成林,拟齐次映象的正不动点,数学学报,27 (1984), 792-794,
[4]	郭大钧,一类凹凸算子的不动点与固有值,科学通报,30 (1985), 1132-1135.
[5]	Ortega,J, M, and W.C, Rheinboldt,Iterative Solution of Nonlinear Equation in Several Irariables, Academic Press,New York(1970).
[6]	游兆永等,两侧逼近区间松弛法,科学通报,31 (1986), 241-243,
[7]	Leggett, R.W.,On certain nonlinear integral equations,J, Math.Anal.Appl.,57(1977),462-468.
[8]	关肇直,《泛函分析讲义》,高等教育出版社(1958),