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Common of fixed point of multivalued mappings without continuity

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Języki publikacji
EN
Abstrakty
EN
In this paper, we prove a common fixed point theorem for single-valued and multivalued mappings on a metric space using the minimal type commutativity condition. We show that continuity of any mapping is not necessary for the existence of a common fixed point.
Rocznik
Tom
Strony
19--26
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
autor
  • Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland, kuba@amu.edu.pl
Bibliografia
  • [1] ASAD A.J., AHMAD Z., Common fixed point of multivalued mappings with weak commutativity conditions, Radovi, Math., 9(1999), 119-124.
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  • [5] KANEKO H., A common fixed point of weakly commuting multivalued mappings, Math. Japan., 33(5)(1988), 741-744.
  • [6] KANEKO H., SESSA S., Fixed point theorem for compatible multivalued and single-valued mappings, Internat. J. Math. Math. Sci., 12(2)(1989), 257-262.
  • [7] KURATOWSKI K., Topology, Demon. Math., 1, Academic press (1966).
  • [8] KYZYSKA S., KUBIACZYK I., Fixed point theorems for upper semicontinu-ous and weakly-weakly upper semicontinuous multivalued mappings, Math. Japonica, 47(2) (1988), 237-240.
  • [9] NADLER S.B., Jr. Multivalued contraction mappings, Pacfic J. Math..30(1969), 475-488.
  • [10] PANT R.P., Common fixed points of non-commuting mappings, J. Math.Anal. AppL, 188(1994), 436-440.
  • [11] PANT R.P., Common fixed point theorems for contractive maps, J. Math. Anal. AppL, 226(1998), 251-258. [12] PANT R.P., Common fixed points of Lipschitz type mappings pair, J. Math. Anal. AppL, 240(1999), 280-283.
  • [13] PANT R.P., Discontinuity and fixed points, J. Math. Anal. AppL, 240(1999), 284-289.
  • [14] PATHAK H.K.. CHO Y.J., KANG, Remarks on R-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc., 34(1997), 247-257.
  • [15] SESSA S., On a weak commutativity condition of mappings in fixed point consideration, Publ. Inst. Math., 32(1982), 149-153.
  • [16] S. SESSA S., KHAN M.S., Some remarks in best approximation theory. Math. J. Toyoma Univ., 17(1994), 151-165.
  • [17] SHAHZAD N., KAMRAN T., Coincidence points and R-weakly commuting maps. Archivum Mathematicum (Brno), 37(2001), 179-183.
  • [18] SlNGH S.L., MiSHRA S.L., Coincidence and fixed points of non-self hybrid contractions, J. Math. Anal. AppL, 256(2001), 486-497
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0069-0078
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