Menger概率度量空间中Caristi型混合不动点定理

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Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space

Department of Applied Mathematics, Nanjing University of Science & Technology, Nanjing 210014 1 P. R. China

摘要: 本文在Menger概率度量空间中引进Caristi型混合不动点概念,得到两个混合不动点定理和两个集值映象序列的公共混合不动点定理,我们的定理改进和推广了Caristi不动点定理及相关的近期重要结果.
- 概率度量空间 /
- Menger空间 /
- Caristi不动点定理 /
- 混合不动点 /
- 公共混合不动点
Abstract: This paper brings forward the concept of Caristi type hybrid fixed point in M-PM-space, by giving two hybrid fixed point theorems and two common hybrid fixedpoint theorems of sequences of set-valued mappings, the theorenms inprove and generalize the Caristis fixed point and correspond to recent important results.
- probabilistic metric space /
- Menger space /
- Caristi’s fixed point theorem /
- hybrid fixed point /
- common hybrid fixed point

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