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Generalized (α, β)-rational contractions and fixed point theorems in ordered Sb-metric spaces with applications

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we define generalized (α, β)-rational contraction. Based on this we have to prove some fixed point theorems. Applications related to integral equations and Homotopy theory are presented. Also we gave an example which supported our main results.
Rocznik
Tom
Strony
83--101
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
  • Department of Mathematics SRKR Engineering College Bhimavaram - 534 204 Andhra Pradesh, India
autor
  • Department of Mathematics К L University Vaddeswaram, Guntur - 522 502 Andhra Pradesh, India
autor
  • Department of Mathematics University of Malakand Chakdara Dir(L), Pakistan
Bibliografia
  • [1] Aghajani A., Abbas М., Roshan J.R., Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces, Filomat, 28(6)(2014), 1087-1101.
  • [2] Bakhtin I.A., The contraction mapping principle in quasimetric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst., 30(1989), 26-37.
  • [3] Banach S., Theorie des Operations lineaires, Manograic Mathematic Zne, Warsaw, Poland, 1932.
  • [4] Mustafa Z., Sims B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2)(2006), 289-297.
  • [5] Mustafa Z., Roshan J.R., Parvaneh V., Kadelburg Z., Some common fixed point results in ordered partial b-metric space, Journal of Inequalities and Applications, 1(2013), 562.
  • [6] Mustafa Z., Roshan J.R., Parvaneh V., Kadelburg Z., Fixed point theorems for weakly T-Chatterjea and weakly T-Kannan contractions in b-metric spaces, Journal of Inequalities and Applications 2014, 2014:46.
  • [7] Mustafa Z., Jaradat М., Ansari A.H., Popovi B.Z., Jaradat H., C-class functions with new approach on coincidence point results for generalized (α, β)-weakly contractions in ordered b-metric spaces, Springer Plus, 5(2016), 802. DOI:10.1186/s40064-016-2481-1.
  • [8] Jaradat М.М.М., Mustafa Z., Ansari A.H., Kumari P.S., Djekic D.D., Jaradat H.M., Some fixed point results for Fα-w,ϕ-generalized cyclic contractions on metric-like space with applications to graphs and integral equations, Journal of Mathematical Analysis, 8(1)(2017), 28-45.
  • [9] Kishore G.N.V., Rao K.P.R., Hima Bindu V.M.L., Unique common fixed point theorem in partial metric spaces by using (C): condition with rational expressions, Afr. Mat., (2016), DOI 10.1007/s13370-017-0484-x.
  • [10] Sedghi S., Gholidahneh, Dosenovic T., Esfahani J., Radenovic S., Common fixed point of four maps in Sb-metric spaces, Journal of Linear and Topological Algebra, 5(2)(2016), 93-104.
  • [11] Sedghi S., Shobe N., Aliouche A., A generalization of fixed point theorem in S-metric spaces, Mat. Vesnik, 64(2012), 258-266.
  • [12] Sedghi S., Shobe N., Dosenovic T., Fixed point results in S-metric spaces, Nonlinear Functional Analysis and Applications, 20(1)(2015), 55-67.
  • [13] Doric D., Common fixed point for generalized (α, β)-weak contractions, Appl. Math. Lett., 22(2009), 1896-1900.
  • [14] Abbas М., Doric D., Common fixed point for generalized (α, β)--weak contractions, Math. Un. of Nis. Serbia, 10(2010), 1-10.
  • [15] Parvateesam P., Murthy, Tas K., Patel U.D., Common fixed point theorems for generalized (α, β)--weak contraction, Jour. Ineq. Appl., 2015, Dol:10.1186/s13660-015-0647-y.
  • [16] Rao K.P.R., Altun I., Rao K.R.K., Srinivasarao N., A Common Fixed Point Theorem for Four Maps under (α, β)- Contractive condition of integral type in ordered partial metric spaces, Math. Sci. Lett., 4(1)(2015), 25-31.
  • [17] Nashine H., Samet B., Fixed point results for mappings satisfying (α, β)- weakly contractive condition in partially ordered metrics paces, Non. linear. Anal., 74(2011), 2201-2209.
  • [18] Roshan J.R., Parvaneh V., Altun I., Coincidence point results in partially ordered b-metric spaces, Appl. Math. and Comput., 226(2014), 725-737.
  • [19] Roshan J., Parvaneh V., Radenovic S., Rajovic М., Coincidence point results for generalized (α, β)-weаk contractions in order b-metric space, Fix. Point Theo. Appl., 68(2015).
  • [20] Roshan J., Parvaneh V., Shobkolaei N., Sedghi S., Shatanawi W., Common fixed points of almost generalized (α, β)-s-contractive mappings in ordered b-metric spaces, Fix. Point Theo. Appl. 2013, Article ID 159(2013).
Uwagi
EN
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5cf38ba3-26b1-41ad-83ab-e192d43f2006
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