Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BMSA > Volume 12 > Fixed Point Theorems for Compatible Mappings of...
< Back to Volume

Fixed Point Theorems for Compatible Mappings of Type (R) in Menger Spaces

Full Text PDF

Abstract:

The aim of this paper is to introduce the concept of weak compatible mappings of type (R) in menger spaces and to prove a fixed point theorem for compatible mappings of type (R) in menger spaces.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 12)
Pages:
41-46
Citation:
O. B. Singh et al., "Fixed Point Theorems for Compatible Mappings of Type (R) in Menger Spaces", Bulletin of Mathematical Sciences and Applications, Vol. 12, pp. 41-46, 2015
Online since:
May 2015
Export:
Distribution:
References:

Bhuruch-Read, A.T.: Fixed point theorem in probabilistic analysis, Bull. Amer. Math. Soc. 82(1976), 641-657.

Cain, G.L. and Kasriel, R.H.: Fixed and periodic points of local contraction mappings on PMspace, Math. Sytem Theory 9(1976), 289-297.

Chamola, K.P.: Fixed points of mappings satisfying a new contraction condition in random normed space, Math. Japonica 33(1988), 821-825.

Chang, S.S.: On some fixed point theorems in PM-space and its Application, Z. Wahrsch. Verw. Gebiete 63(1983), 463-474.

Cho, Y.J., Murthy, P.P. and stojakovic, M. : Compatible mappings of type ( and common fixed points in Menger spac, Comm. Of Korean Math. J. 7(1992), 325-339.

Ciric, L.B.: On fixed point of generalized contractions on probabilistic metricspace, Publ. Inst. Math. Beograd. 18(1975), 71-78.

Debeic, R. and Sarapa, N. : A coomon fixed point theorem for three mappings on menger space, math. Japonica 34(1989), 919-923.

Egbert, R.J.: products and quotients of probabilistic metric space, Pacific J. Math. 24(1968), 437-455.

Hadzic, O.: A fixed point theorem in Menger space, Publ. Inst. Math. Beograd 20(1979), 107112.

Hicks, T.J.: Fixed point theory in probabilistic metric spaces, Review of Research, fac. Sci. Math. Series, Univ. of Novi. Sad, 14(1983), 63-72.

Menger, K.: Statistical metric, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 14-17.

Pathak, H.K. Kang, S.M. and Baek, J.H. : Weak compatible mappings type (A) and common fixed points in Menger spaces, Comm. Korean Math. Soc. 10(1995) No. 1, PP. 67-83.

Radu, V.: On some contraction type mappings in Menger spaces, An Univ. Timisora, Stiinte Math. 23(1995), 61-65.

Rohen Y., Singh, M.R. and Shambhu L., Common fixed point of compatible mapping of type (C) in Banach spaces, Proc. Math. Soc. BHU, 20(2004), 77-87.

Rohen Y. Fixed point theorems of compatible mappings of type (R) in metric spaces, Int. J. Open problems Compt. Math. Vol. 3, No. 5 Dec., (2010).

Rohen Y. M. Krishnando and L. Shambhu, Common fixed point theorems of compatible mappings of type (R)IJMSEA, 6(I) (Jan, 2012), 355-361.

Rohen Y.,M. Koireng Meitei and Leenthoi Ningombam Common fixed point of compatible mappings of type (R) General Mathematics Notes.

Rohen Y. and Singh M.R. Common fixed points of compatible mappings of type (R) in complete metric spaces IJMSEA. 2(IV)(2008) 295-303.

Singh S.L. and Pant, B.D. : Coincidence and fixed point theorems for a family of mappings on Menger space and Extension of Uniform spaces, Math. Japonica 33(1988), 957-973.

Spacek, A.: Note On K. Menger's Probabilistic geometry, Czechosvak Math. J. 6(1956), 72-74.

Vasuki, R.: A fixed point theorem for a sequence of maps satisfying a new contraction type condition in Menger space, Math. Japonica 36 (1990), 1099-1102.

Show More Hide