Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space

Shi Chuan

Volume 18 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(2): 185-192

Shi Chuan. Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space[J]. Applied Mathematics and Mechanics, 1997, 18(2): 185-192.

Citation:

Shi Chuan. Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space[J]. Applied Mathematics and Mechanics, 1997, 18(2): 185-192.

Citation:

Shi Chuan. Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space[J]. Applied Mathematics and Mechanics, 1997, 18(2): 185-192.

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Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space

Shi Chuan

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

Received Date: 1955-12-18
Rev Recd Date: 1996-04-02
Publish Date: 1997-02-15

Abstract

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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References(7)

References

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[2]	史树中,Ekeland变分原理与Caristi不动点定理的等价性,数学进展.16(2) (1987),203-206.
[3]	张石生、罗群,集值的Caristi不动点定理与Ekeland变分原理,应用数学和力学,10(2) (1989),111-113.
[4]	张石生、黄南京、石川,概率度量空间中集值Caristi定理,四川大学学报(自然科学版),30(1)(1993),12-16.
[5]	Jeong Sheok Umo,Some existence theorems generalizing fixed point theorems on complete metric spaces,Math,Japonica,40(1) (1994),109-114.
[6]	Chang Shihsen and Luo Qun,Caristi's fixed point theorem for fuzzy mappings and Ekeland's variaiional principle,Fuzzy Sets and Systems,6(1994),119-125.
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