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Coincidence and common fixed point theorems via r-weak commutativity of type (AT)

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Języki publikacji
EN
Abstrakty
EN
We prove common fixed point theorems for two pairs of hybrid mappings satisfying implicit relations in complete metric spaces using the concept of R—weak commutativity of type At and we correct errors of [1], [3] and [8]. Our theorems generalize results of [1-3], [8], [12-16] and [21],
Rocznik
Tom
Strony
5--16
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
autor
  • Department of Mathematics University of Larbi Ben M'Hidi Oum-El-Bouaghi, 04000, Algeria
Bibliografia
  • [1] Asad A. J., Ahmad Z., A common fixed point of multi-valued mappings with weak commutativity conditions, Radovi Math., 9(1999), 119-124.
  • [2] Djoudi A., Aliouche A., A general common fixed point theorem for reciprocally continuous mappings satisfying an implicit relation, The Austral. J. Math. Anal Appl, 3(2006), 1-7.
  • [3] Imdad M., Khan T.I., Results on nonlinear hybrid contractions satisfying a rational inequality, Southeast Asian Bulletin of Mathematics, 26(2002), 421-432.
  • [4] Itoh S., Takahashi W., Single-valued mappings, Multi-valued mappings and fixed point theorems, J. Math. Anal. Appl., 59(1977), 514-521.
  • [5] JUNGCK G., Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9(1986), 771-779.
  • [6] Kamran T., Fixed points of asymptotically regular noncompatible maps, Demonsratio Math., 38(2)(2005), 485-495.
  • [7] Kaneko H., Sessa S., Fixed point theorems for compatible multi-valued and single valued mappings, Internat. J. Math. Math. Sci., 12(1989), 257-262.
  • [8] Kubiaczyk I., Deshpande B., Common fixed points for multivalued mappings without continuity, Fasciculi Mathematici, 37(2007), 10-26.
  • [9] Nadler S.B., Multi-valued contractions mappings, Pacific J. Math., 30(2)(1969), 475-488.
  • [10] Pant R.P., Common fixed points of noncommuting mappings, J. Math. Anal. Appl, 188(1994), 436-440.
  • [11] Pathak H.K., Cho Y.J., Kang S.M., Remarks on R-weakly commuting mappings and comon fixed point theorems, Bull. Korean. Math. Soc., 34(1997), 247-257.
  • [12] Pathak H.K., Khan M.S., Fixed and coincidence points of hybrid mappings, Arch. Math. (Brno), 38(3) (2002), 201-208.
  • [13] Popa V., Some fixed point theorems for contractive mappings, Stud. Cer. St. Ser. Mat. Univ. Bacau, 7(1997), 157-163.
  • [14] Popa V., Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math., 32(1)(1999), 157-163.
  • [15] Popa V., A general coincidence theorem for compatible multi-valued mappings satisfying an implicit relation, Demonstratio Math., 33(1)(2000), 159-164.
  • [16] Popa V., Coincidence and fixed points theorems for noncontinuous hybrid contractions, Nonlinear Anal. Forum., 7(2)(2002), 153-158.
  • [17] Sessa S., On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math., (Beograd), 32(46)(1982), 149-153.
  • [18] Sessa S., Khan M.S., Imdad M., A common fixed point theorem with a weak commutativity condition, Glas. Math. Ser. III, 21(1986), 225-235.
  • [19] Shahzad N., Kamran T., Coincidence points and R-weakly commuting maps, Arch. Math. (Brno), 37(2001), 179-183.
  • [20] Singh S.L., Mishra S.N., Some remarks on coincidences and fixed points, C. R. Math. Rep. Acad. Sci. Canada., 18(2-3)(1996), 66-70.
  • [21] Turkoglu D., Ozer O., Fisher B., A coincidence point theorem for multi-valued contractions, Math. Communications, 7(2002), 39-44.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP2-0014-0036
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