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Common fixed points for weakly compatible mappings satisfying A-contractive conditions of integral type

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Języki publikacji
EN
Abstrakty
EN
In this paper, we establish the existence of coincidence and unique common fixed points of two pairs of weakly compatible maps satisfying A-contractive condition of integral type.
Rocznik
Tom
Strony
5--12
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
  • Department of Mathematics Obafemi Awolowo University Ile-Ife, Nigeria
Bibliografia
  • [1] Ahmad B., Rehman F.U., Some fixed point theorems in complete metric space, Math. Japonica, 36(2)(1991), 239-243.
  • [2] Akram M., Zafar A.A., Siddiqüi A.A., A general class of contractions: A-contractions, Novi Sad J. Math., 38(1)(2008), 25-33.
  • [3] Aliouche A., A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type, J. Math. Anal. Appl., 322(2)(2006), 796-802.
  • [4] Altün I., Türkoglü D., Rhoades B.E., Fixed points of weakly compatible maps satisfying a general contractive condition of integral type, Fixed Point Theory Appl., (2007), 1-9.
  • [5] Bianchini R.M.T., Su un problema di S. Reich riguardante la teori dei punti fissi, Boll. Un. Math. Ital., 5(1972), 103-108.
  • [6] Branoiari A., A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., 29(2002), 531-536.
  • [7] Chatterjea S.K., Fixed point theorems, C.R. Acad. Bulgare Sci., 25(1972), 727-730.
  • [8] Chuanyi Z., The generalized set-valued contraction and completeness of the metric space, Math. Japonica, 35(1)(1990), 111-118.
  • [9] Cirio Lj.B., A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 45(1974), 267-273.
  • [10] Djoudi A, Aliouohe a., Common fixed point theorems of Gregus-type for weakly compatible mappings satisfying contractive conditions of integral type, J. Math. Anal. Appl, 329(2007), 31-45.
  • [11] Jungok G., Commuting mappings and fixed points, Amer. Math. Monthly, 83(1976), 261-263.
  • [12] Jungok G., Compatible mappings and common fixed points, Int. J. Math. Math. Sci., 9(1986), 771-779.
  • [13] Jungok G., Rhoades B.E., Fixed points for set-valued functions without continuity, Indian J. Pure and Appl. Math., 29(3)(1998), 227-238.
  • [14] Kannan T., Some results on fixed points, Bull. Calcutta Math. Soc., 60(1968), 71-76.
  • [15] Khan M.S., On fixed point theorems, Math. Japonica, 23(2)(1978/79), 201 -204.
  • [16] Pant R.P., Common fixed points of noncommuting mappings, J. Math. Anal. Appl., 188(1994), 436-440.
  • [17] Reich S., Some remarks concerning contraction mappings, Canad. Math. Bull., 14(1)(1971), 121-124.
  • [18] Reich S., Kannan T., Fixed point theorem, Boll. Un. Math. Ital., 188(1994), 436-440.
  • [19] Rhoades B.E., A Comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 226(1977), 257-290.
  • [20] Rhoades B.E., Sessa S., Common fixed point theorems for three mappings under a weak commutativity conditions, Indian J. Pure Appl. Math., 329(1)(1986), 47-57.
  • [21] Sessa S., On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (N.S., Beograd), 32(46)(1982), 149-153.
  • [22] Shioji N., Suzuki T., Takahashi W., Contractive mappings, Kannan mappings and metric completeness, Proc. Amer. Math. Soc., 10(1998), 3117-3124.
  • [23] Vijarayaju P., Rhoades B.E., Mohanraj R., A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., (15)(2005), 2359-2364.
  • [24] Zamfirescu T., Fixed point theorems in metric spaces, Arch. Math.(Basel), 23(1972), 292-298.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-ed503ddb-dc9b-42e0-be3d-067e51fe6a7c
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