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Common fixed point theorems for compatible maps of type (P) and kind of weakly commuting maps

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EN
Abstrakty
EN
In this article, the existence of a unique common fixed point of two families of compatible maps of type (P) on a complete metric space and a common fixed point theorem for four mappings on a metric space are proved. These theorems are an improvement over the theorems generalizes Banach Fixed Point Theorems [1], Kannan Fixed Point Theorem [12], Edelstein Fixed Point Theorem [6], Boyd and Wong's Fixed Point Theorem [2], Ćirić's Fixed Point Theorems [3], Das and Naik's [5].
Rocznik
Tom
Strony
53--67
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
autor
  • College of Science Department of Mathematics and Statistics Sultan Qaboos University Post Box 36, Postal Code 123 Al-Khod, Muscat, Sultanate of Oman, mohammad@squ.edu.om
Bibliografia
  • [1] Banach S., Surles operations dans les ensembles abstraits et leur application aux equationsitegrales, Fund. Math., 3(1922), 133-181.
  • [2] Boyd D.W., Wong C.S., On nonlinear contractions, Amer. Math. Soc., 20(2)(1969), 458-464.
  • [3] Ćirić Lj.B., A generalization of Banach’s contraction principle, Amer. Math. Soc., 45(1974), 267-273.
  • [4] Ćirić Lj.B., Nikolić N.T., Ume J.S., Common fixed point theorem for weakly compatible quasi contraction mappings, Acta. Math. Hunger., 113(4)(2006), 257–267.
  • [5] Das K.M., Naik K.V., Common fixed point theorem for commuting maps on metric space, Amer. Math. Soc., 77(3)(1979) 369–373.
  • [6] Edelstein M., An extension of Banach’s contraction principle, Amer. Math. Sco, 12(1961), 7-10.
  • [7] Jungck G., Commuting mappings and fixed points, Amer. Math. Monthly, 83(1976), 261–263.
  • [8] Jungck G., Compatible maps and common fixed points, Internat. J. Math. Math. Sci., 9(1986), 771-779.
  • [9] Jungck G., Murthy P.P., Cho Y.J., Compatible mappings of type (A) and common fixed points, Math. Japonica, 38(2)(1993), 381-390.
  • [10] Jungck G., Rhoades B.E., Some fixed point theorems for compatible maps, Internat.J. Math. Math. Sci., (1993), 417–428.
  • [11] Jungck G., Rhoades B.E., Fixed points for set-valued functions without continuity, Indian J. Pure Appl. Math., 29(1998), 227–238.
  • [12] Kannan R., Some results on fixed points, Bull. Cal. Math. Soc., 60(1968), 71-76.
  • [13] Murthy P.P., Important tools and possible applications of metric fixed point theory, Nonlinear Analysis, 44(5)(2001), 3479-3490.
  • [14] Pathak H.K., Cho Y.J., Khan M.S., Madharia B, Compatible mappings of type (C) and common fixed point theorems of Gregus type, Demmonstratio Math., 31(3)(1998), 499-518.
  • [15] Pathak H.K., Khan M.S., Compatible mappings of type (B) and common fixed point theorems of Gregus type, Czeehoslovak. Math. J., 45(120)(1995), 685-696.
  • [16] Pathak H.K., Cho Y.J., Chang S.S., Kang S.M., Compatible mappings of type (P) and fixed point theorems in metric spaces and probabilistic metric space, Novi. Sad. J. Math., 26(1996), 87-109.
  • [17] Singh S.P., Meada B.A., On common fixed point theorems, Bull. Austral. Math. Soc., 16(1977), 49-53.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP3-0002-0066
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