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Caristi type hybrid fixed point theorems in menger probabilistic metric space

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Abstract

This paper brings forward the concept of Caristi type hybrid fixed point in MPM-space, by giving two hybrid fixed point theorems and two common hybrid fixed point theorems of sequences of set-valued mappings, the theorems improve and generalize the Caristi's fixed point and correspond to recent important results.

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References

  1. J. Caristi, Fixed point theorems for mappings satisfying inwardness conditions,Trans. Amer. Math. Soc.,215 (1976), 241–251.

    Article  MATH  MathSciNet  Google Scholar 

  2. S. Z. Shi, Equivalence between Ekeland's variational principle and Caristi's fixed point theorem,Advan. Math.,16, 2 (1987), 203–206. (in Chinese)

    MATH  Google Scholar 

  3. Zhang Shisheng and Luo Qun, Set-valued Caristi's fixed point theorem and Ekeland's variational principle,Applied Mathematics and Mechanics (English Ed.),10, 2 (1989), 119–121.

    Google Scholar 

  4. Chang Shihsen, Huang Nanjing and Shi Chuan. Set-valued Caristi's theorem in probabilistic metric spaces,Journal of Sichuan University. Natural Science Edition,30, 1 (1993), 12–16. (in Chinese)

    MathSciNet  Google Scholar 

  5. Jeong Sheok Ume. Some existence theorems generalizing fixed point theorems on complete metric spaces.Math. Japonica,40, 1 (1994), 109–114.

    MATH  MathSciNet  Google Scholar 

  6. Chang Shihsen and Luo Qun, Caristi's fixed point theorem for fuzzy mappings and Ekeland's variational principle,Fuzzy Sets and Systems,64 (1994), 119–125.

    Article  MathSciNet  Google Scholar 

  7. S. S. Chang, Yeol Je Cho and Skin Min Kang,Probabilistic Matric Spaces and Nonlinear Operator Theory, Sichuan University Press, Chengdu, P. R. China (1994).

    Google Scholar 

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Communicated by Ding Xieping

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Chuan, S. Caristi type hybrid fixed point theorems in menger probabilistic metric space. Appl Math Mech 18, 201–209 (1997). https://doi.org/10.1007/BF02458020

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  • DOI: https://doi.org/10.1007/BF02458020

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