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Ulam-Hyers stability theorem by tripled fixed point theorem

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Języki publikacji
EN
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EN
This paper deals with tripled fixed point theorem, and the approach is based on Perov-type fixed point theorem for contractions in metric spaces endowed with vector-valued metrics. We are also study Ulam-Hyers stability results for the tripled fixed points of a triple of contractive type single-valued and respectively multi-valued operators on complete metric spaces.
Rocznik
Tom
Strony
77--97
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
  • H. No. 93/654, Ward No. - 2, Gandhi Chowk Pachmarhi- 461881 (M.P.), India
Bibliografia
  • [1] Allaire G., Kaber S.M., Numerical Linear Algebra, Texts in Applied Mathematics, 55, Springer, New York, 2008.
  • [2] Banach S., Sur les operations dans les ensembles abstraits et leur application aux equations integrales, Fundamenta Mathematicae, 3(1922) 133-181.
  • [3] Bhaskar T.G., Lakshmikantham V., Fixed point theory in partially ordered metric spaces and applications, Nonlinear Anal., 65(2006), 1379-1393.
  • [4] Bhaskar T.G., Lakshmikantham V., Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65(2006), 1379-1393.
  • [5] Berinde V., Borcut M., Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal., 74(15) (2011), 4889-4897.
  • [6] Bota M., Petruşel A., Ulam-Hyers stability for operatorial equations, Analls of the Alexandru Ioan Cuza University Iasi, 57(2011), 65-74.
  • [7] Bucur A., Guran L., Petruşel A., Fixed points for multi-valued operators on a set endowed with vector-valued metrics and applications, Fixed Point Theory, 10(1) (2009), 19-34.
  • [8] Cho Y.J., Gupta A., Karapinar E., Kumam P., Tripled best proximity point theorem in metric spaces, Mathematical Inequalities & Applications, 16(4) (2013), 1197-1216.
  • [9] Filip A.D., Petruşel A., Fixed point theorems on spaces endowed with vector-valued metrics, Fixed Point Theory & Applications, (2010), Article ID 281381, 15 pages.
  • [10] Guo D., Lakshmikantham V., Coupled fixed points of nonlinear operators with applications, Nonlinear Anal., 11(1987), 623-632.
  • [11] Guo D., Cho Y.J., Zhu J., Partial ordering methods in nonlinear problems, Nova Science Publishers Inc., Hauppauge, NY, 2004.
  • [12] Gupta A., Weak contractions for coupled fixed point theorem on G-metric space, African Journal Of Mathematics & Mathematical Science, 1(1) (2013), 1-12.
  • [13] Gupta A., Coupled common fixed point results in ordered S-metric spaces, Asia Pacifc Journal of Mathematics, 1(1) (2014), 44-66.
  • [14] Gupta A., Rajput S.S., Kaurav P.S., Coupled best proximity point theorem in metric spaces dependent on ICS mapping, Caribbean Journal Of Science & Technology, 1(1) (2013), 27-42.
  • [15] Gupta A., Rajput S.S., Kaurav P.S., Coupled best proximity point theorem in metric spaces, International Journal Of Analysis & Applications, 4(2) (2014), 201-215.
  • [16] Gupta A., Kaurav P.S., Rajput S.S., Some contraction with Q-function for coupled coincidence point theorem in partially ordered quasi metric spaces, International Journal of Mathematics & its Applications, 2(1) (2014), 1-21.
  • [17] Gupta A., An application of Meir Keeler type tripled fixed point, International Journal Of Advances In Applied Mathematics & Mechanics, 2(2) (2014), 21-38.
  • [18] Gupta A., Narayan R., Yadava R.N., Tripled fixed point for compatible mappings in partially ordered fuzzy metric spaces, The Journal of Fuzzy Mathematics, 22(3) (2014), 565-580.
  • [19] Gupta A., Kushwaha R., Tripled common fixed point for weak (μ, ψ, Ψ, Φ)-contractions in partially ordered metric spaces, Mathematical Theory And Modeling, 3(6) (2013), 46-53.
  • [20] Hong S., Fixed points for mixed monotone multi-valued operators in Banach spaces with applications, J. Math. Anal. Appl., 337(2008), 333-342.
  • [21] Lakshmikantham V., Ćirić L., Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal., 70(2009), 4341-4349.
  • [22] Perov A.I., On the Cauchy problem for a system of ordinary differential equations, Pviblizhen. Met. Reshen. Differ. Uvavn, 2(1964), 115-134.
  • [23] Petru P.T., Petruşel A., Yao J.C., Ulam-Hyers stability for operatorial equations and inclusions via nonself operators, Taiwanese J. Math., 15(5) (2011), 2195-2212.
  • [24] Petruşel A., Multi-valued weakly picard operators and applications, Sci. Math. Japon., 59(2004), 169-202.
  • [25] Precup R., The role of matrices that are convergent to zero in the study of semilinear operator systems, Math. Comput. Modell, 49(2009), 703-708.
  • [26] Rus I.A., Principles and applications of the fixed point theory, Dacia, Cluj-Napoca, 1979.
  • [27] Rus M.D., Remarks on Ulam stability of the operatorial equations, Fixed Point Theory, 10(2) (2009), 305-320.
  • [28] Rus M.D., The method of monotone iterations for mixed monotone operators, Ph. D. Thesis, Universitatea Babeş-Bolyai, Cluj-Napoca, 2010.
  • [29] Varga R.S., Matrix Iterative Analysis, Springer Series in Computational Mathematics, Springer, Berlin, 27(2000).
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-17694b73-8b84-41ea-a7e0-ab4b2fe1b149
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