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Some Results on Random Fixed Points of Completely Random Operators

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Abstract

In this paper, some results on random fixed points of quasi-contractive and asymptotically contractive completely random operators are given. This is a continuation of the paper of Thang and Anh (Random Oper. Stoch. Equ. 21:1–20, 2013).

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References

  1. Beg, I., Olatinwo, M.O.: Fixed point of involution mappings in convex metric spaces. Nonlinear Funct. Anal. Appl. 16, 93–99 (2011)

    MATH  Google Scholar 

  2. Beg, I., Shahzad, N.: Random fixed point theorems for nonexpansive and contractive-type random operators on Banach spaces. J. Appl. Math. Stoch. Anal. 7, 569–580 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  3. Benavides, T.D., Acedo, G.L., Xu, H.-K.: Random fixed points of set-valued operators. Proc. Am. Math. Soc. 124, 831–838 (1996)

    Article  MATH  Google Scholar 

  4. Bharucha-Reid, A.T.: Fixed point theorems in probabilistic analysis. Bull. Am. Math. Soc. 82, 641–657 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  5. Olaleru, J.O.: Approximation of common fixed points of weakly compatible pairs using the Jungck iteration. Appl. Math. Comput. 217, 8425–8431 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  6. Shahzad, N.: Random fixed points of discontinuous random maps. Math. Comput. Model. 41, 1431–1436 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Schwartz, L.: Geometry and probability in Banach spaces. Lecture Notes Math., vol. 852. Springer, Berlin (1981)

    MATH  Google Scholar 

  8. Thang, D.H., Anh, T.N.: On random equations and applications to random fixed point theorems. Random Oper. Stoch. Equ. 18, 199–212 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  9. Thang, D.H., Anh, P.T.: Random fixed points of completely random operators. Random Oper. Stoch. Equ. 21, 1–20 (2013)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

Both authors would like to thank the referees for pointing out details and giving helpful suggestions on the earlier version of the paper. The authors also want to thank Dr. Nguyen Thinh for helpful discussions and suggestions. This work is supported by the Vietnam National Foundation for Science Technology Development (NAFOSTED).

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Authors and Affiliations

  1. Faculty of Mathematics Mechanics Informatics, Hanoi National University, 334 Nguyen Trai Str., Thanh Xuan dist., Hanoi, Vietnam

    Dang Hung Thang

  2. Department of Information technology, Le Qui Don Technical University, 236 Hoang Quoc Viet Str., Cau Giay dist., Hanoi, Vietnam

    Pham The Anh

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  1. Dang Hung Thang
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  2. Pham The Anh
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Correspondence to Pham The Anh.

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Thang, D.H., Anh, P.T. Some Results on Random Fixed Points of Completely Random Operators. Vietnam. J. Math. 42, 133–140 (2014). https://doi.org/10.1007/s10013-013-0037-z

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  • DOI: https://doi.org/10.1007/s10013-013-0037-z

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