Retracted due to a case of duplicate publication

In this paper we have proved some fixed point theorems in random fuzzy metric space for three mappings which satisfying some contractions. Also here we consider rational expression in contraction.

Periodical:

The Bulletin of Society for Mathematical Services and Standards (Volume 8)

Pages:

1-13

Citation:

M. Shukla et al., "Common Fixed Point Results in Random Fuzzy Metric Space", The Bulletin of Society for Mathematical Services and Standards, Vol. 8, pp. 1-13, 2013

Online since:

December 2013

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

[1] Beg, I. and Shahzad, N. Random approximations and random fixed point theorems, J. Appl. Math. Stochastic Anal. 7 (1994). No 2, 145-150.

DOI: https://doi.org/10.1155/s1048953394000158[2] Beg, I. and Shahzad, N. Random fixed points of weakly inward operators in conical shells,J. Appl. Math, Stoch. Anal. 8(1995) 261-264.

[3] Bharucha –Reid, A.T. Fixed point theorems in probabilistic analysis, Bull. Amer. Math.Soc.82 (1976) 641-657.

DOI: https://doi.org/10.1090/s0002-9904-1976-14091-8[4] Choudhary, B.S. and Ray, M. Convergence of an iteration leading to a solution of a randomoperator equation, J. Appl. Math. Stochastic Anal. 12 (1999). No 2,161-168.

[5] Choudhary, B.S. and Upadhyay, A. An iteration leading to random solutions and fixed points of operators, Soochow J. Math.25 (1999). No 4,395-400.

[6] Choudhary, B.S. A common unique fixed point theorem for two random operators in Hilbert spaces, I. J. M.M. S. 32 (2002) 177-182. Hence A, F and T have unique common fixed point.

DOI: https://doi.org/10.1155/s0161171202005616[7] Dhagat, V.B., Sharma, A. and Bhardwaj, R.K. Fixed point theorem for random operators in Hilbert spaces, International Journal of Math. Analysis 2(2008) no. 12, 557-561.

[8] Grabiec, M.: Fixed points in fuzzy metric space, Fuzzy Sets and Systems, 27, 385- 389 (1988).

DOI: https://doi.org/10.1016/0165-0114(88)90064-4[9] Mishra, S.N., Sharma, N., Singh, S.L.: Common fixed points of maps on fuzzy metric spaces, Internet. J. Math. & Math Sci., 17, 89-108 (1966).

[10] Som, T. Some results on common fixed point in fuzzy Metric spaces, Soochow Journal of Mathematics 4 (2007) 553-561.

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