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Fixed point theorem in 2 non-archimedean Menger PM-Space using weakly L-compatible and weakly M-compatible mappings

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the present paper, we extend and generalize the result of Cho et. al. [l]by introducing the notion of weakly L-compatible and weakly M-compatible maps in a 2 non-Archimedean Menger PM-space.
Rocznik
Strony
177--187
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
autor
  • Department of Applied Mathematics, Shm Guru Sandipani Institute of Technology and Science Ujjain (M.P.) 456550, arihant2412@gmail.com
Bibliografia
  • [1] 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.
  • [2] 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
  • [3] 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.
  • [4] A. Jain and B. Singh, Common fixed point theorem in Menger Spaces, The Aligarh Bull, of Math. 25(1) (2006), 23-31.
  • [5] V.I. Istratescu, Fixed point theorems for some classes of contraction mappings on nonarchi-medean probabilistic metric space, Publ. Math. (Debrecen) 25 (1978), 29-34.
  • [6] V.I. Istratrescu and N. Crivat, On some classes of nonarchimedean Menger spaces, Seminar de spatii Metrice probabiliste, Univ. Timisoara Nr. 12 (1974).
  • [7] K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. USA. 28 (1942), 535-537.
  • [8] S.N. Mishra, Common fixed points of compatible mappings in PM-spaces, Math. Japon. 36(2) (1991), 283-289.
  • [9] B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334.
  • [10] V.M. Sehgal and A.T. Bharucha-Reid, Fixed points of contraction maps on probabilistic metric spaces, Math. System Theory 6 (1972), 97-102.
  • [11] B. Singh, A. Jain and P. Agarwal, Semi-compatibility in non-archimedean Menger PM-space, Commentationes Mathematicae 49(1) (2009), 15-25.
  • [12] B. Singh, A. Jain and P. Agarwal, Common fixed point of coincidentally commuting mappings in non-archimedean Menger spaces, Italian Journal of Pure and Applied Mathematics 25 (2009), 213-218.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0023-0055
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