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The object of this paper is to establish xed point theorem for six self maps and an example using the concept of semi-compatible self maps in a non-Archimedean Menger PM-space. Our result generalizes the result of Cho et. al. [2].
Wydawca
Czasopismo
Rocznik
Tom
Strony
15--25
Opis fizyczny
Bibliogr. 15 poz.
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autor
autor
autor
- School of Studies in Mathematics, Vikram University Ujjain (M.P.) { 456010, arihant2412@gmail.com
Bibliografia
- [1] S.S. Chang, Fixed point theorems for single-valued and multi-valued mappings in non-Archimedean Menger probabilistic metric spaces, Math. Japonica 35(5) (1990), 875{885.
- [2] Y.J. Cho, K.S. Ha and S.S. Chang, Common fixed point theorems for compatible mappings of type (A) in non-Archimedean Menger PM-spaces, Math. Japonica 48(1) (1997), 169{179.
- [3] Y.J. Cho, K.S. Park and S.S. Chang, Fixed point theorems in metric spaces and probabilistic metric spaces, Internat. J. Math. & Math. Sci. 19(2) (1996), 243{252.
- [4] Y.J. Cho, B.K. Sharma and R.D. Sahu, Semi-compatibility and fixed points, Math. Japon. 42 (1) (1995), 91{98.
- [5] A. Jain and B. Singh, Common fixed point theorem in Menger space through compatible maps of type (A), Chh. J. Sci. Tech. 2 (2005), 1{12.
- [6] A. Jain and B. Singh, A fixed point theorem in Menger space through compatible maps of type (A), V.J.M.S. 5(2) (2005), 555{568.
- [7] A. Jain and B. Singh, Common fixed point theorem in Menger Spaces, The Aligarh Bull. Of Math. 25(1) (2006), 23{31.
- [8] O. Hadzic, A note on Istratrescu's fixed point theorems in non-Archimedean Menger spaces, Bull. Math. Soc. Sci. Math. Rep. Soc. Roum. T. 24(72),3 (1980), 277{280.
- [9] Istratrescu, V.I., Fixed point theorems for some classes of contraction mappings on nonarchimedean probabilistic metric space, Publ. Math. (Debrecen) 25 (1978), 29-34.
- [10] V.I. Istratrescu and N. Crivat, On some classes of nonarchimedean Menger spaces, Seminar de spatii Metrice probabiliste, Univ. Timisoara Nr. 12 (1974).
- [11] K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. USA. 28 (1942), 535{537.
- [12] S.N. Mishra, Common fixed points of compatible mappings in PM-spaces, Math. Japon. 36(2) (1991), 283{289.
- [13] B. Schweizer and A. Sklar, Statistical metric spaces, Paci_c J. Math. 10 (1960), 313{334
- [14] V.M. Sehgal and A.T. Bharucha-Reid, Fixed points of contraction maps on probabilistic metric spaces, Math. System Theory 6 (1972), 97{102.
- [15] B. Singh and S. Jain, Semi-compatibility and fixed point theorem in Menger space using implicit relation, East Asian Math. J. 21(1) (2005), 65{76.
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Bibliografia
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bwmeta1.element.baztech-article-BUS8-0011-0061