锥度量空间中Picard迭代的T-稳定性

Abstract

Abstract:

In this paper we investigate the T-stability of fixed point Picard's iteration procedures for contractive mappings and expansive mappings, respectively. We illustrate our conclusions for some examples. Furthermore, we use our results to obtain the unique positive solution for an ordinary differential equation with boundary conditions.

Key words: T-Stability, Cone metric space, Contractive mapping, Expansive mapping, Fixed point

CLC Number:

O177.91

Huang Huaping, Xu Shaoyuan, Xu Wangbin. T-Stability of Picard's Iteration in Cone Metric Spaces[J].Acta mathematica scientia,Series A, 2015, 35(2): 395-404.

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References

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T-Stability of Picard's Iteration in Cone Metric Spaces

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