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On some recent fixed point results for single and multi-valued mappings in b-metric spaces

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The main purpose of this paper is to improve and correct some results in b-metric spaces. Moreover, we prove that some results can be slightly relaxed and also we explore some proof techniques which provide short proofs of the results.
Rocznik
Tom
Strony
5--16
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
  • University of Kragujevac Faculty of Science Department of Mathematics and Informatics Radoja Domanovića 12 34000 Kragujevac, Serbia
  • University of Banja Luka Faculty of Electrical Engineering Patre 5, 78000 Banja Luka Bosnia and Herzegovina
  • King Saud University College of Science Department of Mathematics Riyadh 11451, Saudi Arabia
Bibliografia
  • [1] Bakhtin I.A., The contraction principle in quasimetric spaces, Funct. Anal., 30(1989), 26-37.
  • [2] Chandok S., Jovanović M., Radenović S., Ordered b-metric spaces and Geraghty type contractive mappings, Vojnotehnicki Glasnik/Military Technical Courier, 65(2)(2017), 331-345.
  • [3] Czerwik S., Contraction mappings in b-metric spaces, Acta Math. Inform., Univ. Ostrav., 1(1993), 5-11.
  • [4] Czerwik S., Nonlinear set-valued contraction mappings in b-metric spaces, Atti Semin. Mat. Fis. Univ. Modena, 46(1998), 263-276.
  • [5] Došenović T., Pavlović M., Radenović S., Contractive conditions in b-metric spaces, Vojnotehnicki Glasnik/Military Technical Courier, 65(4)(2017), 851-865.
  • [6] Dubey A.K., Shukla R., Dubey R.P., Some fixed point results in b-metric spaces, Asian J. Math. Appl., article ID ama0147 (2014).
  • [7] Faraji H., Nourouzi K., A generalization of Kannan and Chatterjea fixed point theorem on complete b-metric spaces, Sahand Communications in Mathematical Analysis (SCMA), 6(1)(2017), 77-86.
  • [8] Haghi R.H., Rezapour Sh., Shahzad N., On fixed points of quasi- contraction type multifunctions, Appl. Math. Lett., 25(2012), 843-846.
  • [9] Jleli M., Samet B., Vetro C., Vetro F., Fixed points for multivalued mappings in b-metric spaces, Abstact and Applied Analysis, Volume 2015, Article ID 718074, 7 papges.
  • [10] Jovanović M., Kadelburg Z., Radenović S., Common fixed point results in metric-type spaces, Fixed Point Theory Appl., Volume 2010, Article ID 978121, 15 pages.
  • [11] Jovanović M., Contribution to the theory of abstract metric spaces, Doctoral Dissertation, Belgrade 2016.
  • [12] Khan M.S., Swaleh M., Sessa S., Fixed point theorems by altering distances between the points, Bul. Aust. Math. Soc., 30(1)(1984), 1-9.
  • [13] Koleva R., Zlatonov B., On fixed points for Chatterjea’s maps in b-metric spaces, Turkish journal of Analysis and Number Theory, 4(2)(2016), 31-34.
  • [14] Kir M., Kizitune H., On some well known fixed point theorems in b-metric spaces, Turk. J. Anal. Numbrer Theory, 1(2013), 13-16.
  • [15] Miculescu R., Mihail A., New fixed point theorems for set-valued contractions in b-metric spaces, J. Fixed Point Theory Appl., DOI 10.1007/s11784-016-0400-2.
  • [16] Mishra P.K., Sachdeva S., Banerjee S.K., Some fixed point theorems in b-metric space, Turk. J. Anal. Numbrer Theory, 2(2014), 19-22.
  • [17] Chifu C., Petrusel G., Fixed point results for multivalued Hardy-Rogers contractions in b-metric spaces, Filomat, 31(8)(2017), 2499-2507.
  • [18] Shah M.H., Simić S., Hussain N., Sretenović A., Radenović S., Common fixed points theorems for occasionally weakly compatible pairs on cone metric type spaces, J. Comput. Anal. Appl., 14(2), 290-297.
  • [19] Singh S.L., Czerwik S., Krol K., Singh A., Coincidences and fixed points of hybrid contractions, Tamsui Oxf. J. Math. Sci., 24(2008), 401-416.
  • [20] Suzuki T., Basic inequality on a b-metric space and its applications, J. Inequal. Appl., (2017) 2017:256.
  • [21] Zare K., Arab R., Common fixed point results for infinite families in partially ordered b-metric spaces and applications, Electronic Journal of Mathemmatical Analysis and Applications, 4(2)(2016), 56-67.
Uwagi
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-d452364c-8b6a-414d-b796-e53470383267
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