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:

Bulletin of Mathematical Sciences and Applications (Volume 6)

Pages:

21-32

Citation:

M. Shukla et al., "Common Fixed Point Results in Random Fuzzy Metric Space", Bulletin of Mathematical Sciences and Applications, Vol. 6, pp. 21-32, 2013

Online since:

Nov 2013

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

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

Beg, I. and Shahzad, N. Random fixed points of weakly inward operators in conical shells, J. Appl. Math, Stoch. Anal. 8(1995) 261-264.

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

Choudhary, B.S. and Ray, M. Convergence of an iteration leading to a solution of a random operator equation, J. Appl. Math. Stochastic Anal. 12 (1999). No 2, 161-168.

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.

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.

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.

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

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).

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