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Abstrakty
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.
Słowa kluczowe
Czasopismo
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
autor
- University of Banja Luka Faculty of Electrical Engineering Patre 5, 78000 Banja Luka Bosnia and Herzegovina
autor
- 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
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