Common fixed point theorem for six mappings in Menger space

• Autorzy: Sharma S. , Bagwan A.
• Języki publikacji: EN

Słowa kluczowe

EN

common fixed point; probabilistic metric space; compatible mapping; weak compatible mapping; complete Menger space

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2007
• Tom: Nr 37
• Strony: 67--77
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Sharma S.

autor

Bagwan A.

• Deaprtment of Mathematics and Computer Science Madhav Science College Ujjain (M.P.)-456010, India,

Bibliografia

• [1] BHARUCHA-REID A.T., Fixed point theorems in probabilistic analysis, Bull. Amer. Math. Soc., 82(1976), 641-657.
• [2] BOCSAN G., On some fixed point theorems in probabilistic metric spaces, Math. Balkanica, 4(1974), 67-70.
• [3] CAIN G.L., KASRIEL R.H., Fixed and periodic points of local contraction mappings on probabilistic metric spaces. Math. System Theory, 9(1976), 289-297.
• [4] CHAMOLA K.P., Fixed points of mappings satisfying a new contraction condition in Random Normed spaces, Math. Japonica, 33(1988), 821-825.
• [5] C HANG S.S., On some fixed point theorems in probabilistic metric spaces and its application, Z. Wahrsch. Verw. Gebiete, 63(1983), 463-474.
• [6] CHO Y.J., MURTHY P.P.. STOJAKOVIC M., Compatible mappings of type (A) and common fixed points in Meneger spaces, Comm. of Karean Math. J., 7(1992), 325-339.
• [7] CIRIC L.B., On fixed points of generalized contractions on probabilistic metric spaces, Publ. Inst. Math. Beograd, 18(32)(1975), 71-78.
• [8] DEBEIC R., SARAPA N., A common fixed point theorem for three mappings on Meneger spaces, Math. Japonica, 34(1989), 919-923.
• [9] EGBERT R.J., Products and quotients of probabilitic metric space, Pacific J. Math., 24(1968), 437-455.
• [10] HADZIC O., On the (e,A) topology of LPC-space, Glasnik Math., 13(1978), 293-297.
• [11] HADZIC O., A fixed point theorem in probabilistic localy convex spaces. Rev. Roum. Math. Pures Appl, 23(1978), 735-744.
• [12] HADZIC O., Some theorems on the fixed point in probabilistic metric space and Random normed spaces. Ball Un. Mat. ItaL, 13(5)18(1981), 1-11.
• [13] HlCKS T.L., Fixed point theory in probabilistic metric spaces, Review of Research, Fasc. Sci Math. Series, Univ. of Novi. Sad, 13(1983), 63-72.
• [14] JUNGCK G., MURTHY P.P., CHO Y.J, Compatible mappings ot type (A) and common fixed points, Math. Japonica, 38(1983), 381-390.
• [15] MENGER K., Statistical metric, Proc. Nat. Acad. Sci. U.S.A, 28(1942), 535-537.
• [16] MlSHRA S.N., Common fixed point of compatible mappings in probabilistic metric space, Math. Japonica, 36(1991), 283-289.
• [17] PATHAK H.K., KANG S.M., J.H. BEAK, Weak compatible mppings of type (A) and common fixed points in Meneger spaces, Comm. Korean Math. Soc., 10(1)(1995), 67-83.
• [18] RADU V., On some contraction type mappings in Menger space, An. Univ. Timisora, Stiinte Math., 22(1-2)(1984), 83-88.
• [19] SCHWEIZER B., SKLAR A., Statistical metric space, Pacific J. Math., 10(1960), 313-334.
• [20] SCHWEIZER B., SKLAR A., Probabilistic metric space, Vol. 5, North-Holland series in probability and Applied Math., 1983.
• [21] SERSTNEV A.N., The notion of the Random normed space, Dolk. Akad. Nauk. USSR, 149(1963), 280-283.
• [22] SHERWOOD H., On the completion of probabilistic metric space, Z. Wahrsch. Verw. Gebiete, 6(1966), 62-64.
• [23] SHERWOOD H., Complete probabilistic metric space, Z. Wahrsch. Verw. Gebiete, 20(1971), 117-128.
• [24] SINGH S.L., PANT B.D., Fixed point theorems for commuting mappings in probabilistic metric space, Honam Math. J., 5(1983), 139-150.
• [25] SINGH S.L., PANT B.D., Common fixed point theorems in probabilistic metric spaces and extension to uniform spaces, Honam Math. J. Phy., 6(1984), 1-12.
• [26] SINGH S.L., PANT B.D., Concidence and fixed point theorems for a family of mappings on Menger space and extension of Uniform space, Math. Japonica, 33(1988), 957-973.
• [27] SPACEK A., Note on K. Meneger probabilistic geometry, Czechoslovak Math. J., 6(1956), 72-74.
• [28] STOJAKOVIC M., Fixed point theorem in probabilistic metric space, Kobe J. Math., 2(1985), 1-9.
• [29] STOJAKOVIC M., A common fixed point theorems in probabilistic metric space and its application, Glasnik Math., 23(1988), 203-211.
• [30] SEHGAL V.M., BHARUCH-READ A.T., Fixed point of contraction mappings on probabilistics metric spaces, Math. Systems Theory, 6(1972), 72-102.
• [31] WALD A., A on a statistical generalization of metric space, Proc. Nat. Acad. Sci. U.S.A., 29(1943), 196-197.