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A general coincidence and fixed point theorem for hybrid pairs of mappings satisfying a common coincidence range property

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Języki publikacji
EN
Abstrakty
EN
In this paper the notion of common coincidence range property is introduced and a general coincidence and fixed point theorem is proved. As applications, new results for mappings satisfying a contractive condition of integral type and for mappings satisfying a φ-contractive condition are obtained.
Rocznik
Tom
Strony
145--154
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
  • ”Vasile Alecsandri” University of Bacău, 157 Calea Mărăşeşti, Bacău, 600115, Romania, vpopa@ub.ro
  • Dunărea de Jos” University of Galat¸i, Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences, 111 Domnească Street, Galaţ, 800201, Romania , Alina.Patriciu@ugal.ro
Bibliografia
  • [1] Abdou A.A., Common fixed points results for multivalued mappings with some examples, J. Nonlinear Sci. Appl., 9(2016), 787-798.
  • [2] Branciari A., A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., 29(9)(2002), 531-536.
  • [3] Imdad M., Ahmad A., Kumar S., On nonlinear non-self hybrid contractions, Rad. Mat., 10(2)(2001), 233-244.
  • [4] Imdad M., Chauhan S., Soliman A.H., Ahmed M.A., Hybrid fixed point theorems in symmetric spaces via common limit range property, Demonstr. Math., 47(4)(2014), 949-962.
  • [5] Imdad M., Chauhan S., Kumam P., Fixed point theorems for two hybrid pairs of non-self mappings under joint common limit range property in metric spaces, J. Nonlinear Convex Anal., 16(2)(2015), 243-254.
  • [6] Khan M.S., Swaleh M., Kumar R., Fixed point theorems by altering distances between the points, Bull. Austral. Math. Soc., 30(1984), 1-9.
  • [7] Matkowski J., Fixed point theorems for mappings with a contractive iterate at a point, Proc. Amer. Math. Soc., 62(2)(1977), 344-348.
  • [8] Pathak H.K., Rodriguez-López R., Noncommutativity of mappings in hybrid fixed point results, Bound. Value Prob., 145(2013).
  • [9] Popa V., Fixed point theorems for implicit contractive mappings, Stud. Cercet. Ştiinţ., Ser. Mat., Univ. Bacău 7(1997), 129-133.
  • [10] Popa V., Some fixed point theorem for compatible mappings satisfying an implicit relation, Demonstr. Math., 32(1)(1999), 157-163.
  • [11] Popa V., A general fixed point theorem for weakly commuting multi - valued mappings, Anal. Univ. ”Dunărea de Jos” Galaţi, Ser. Mat. Fiz. Mec.Teor., Fasc. II 16(22)(1999), 19-22.
  • [12] Popa V., A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation, Demonstr. Math., 33(1)(2000), 159-164.
  • [13] Popa V., Coincidence and fixed point theorems for noncontinuous hybrid contractions, Nonlinear Anal. Forum., 7(2)(2002), 153-158.
  • [14] Popa V., Altering distance and strict fixed points for multifunctions satisfying implicit relation, Bul. Inst. Politehn. Iaşi, Ser. Mat. Mec. Teor. Fiz., 57(61)(2)(2011), 1-9.
  • [15] Popa V., A general coincidence and common fixed theorem for two hybrid pairs of mappings, Demonstr. Math., 47(4)(2014), 971-978.
  • [16] Popa V., Mocanu M., Altering distance and common fixed points under implicit relations, Hacet. J. Math. Stat., 38(3)(2009), 329-337.
  • [17] Rhoades B.E., Two fixed point theorems for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., 63(2003), 4007-4013.
  • [18] Sastry K.P.R., Babu G.V.R., Fixed point theorems in metric spaces by altering distances, Bull. Calcutta Math. Soc., 90(3)(1998), 175-182.
  • [19] Sastry K.P.R., Babu G.V.R., Some fixed point theorems by altering distances between the points, Indian J. Pure Appl. Math., 30(6)(1999), 641-647.
  • [20] Sintunavarat W., Kumam P., Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, Appl. Math. 2011(2011), Article ID 637958, 14 pages.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-86316016-018d-4333-995e-f5a4eee0e38d
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