Coupled fixed point theorem in b-fuzzy metric spaces

• Autorzy: Došenović T , Hassanzadeh Z. , Sedghi S.

Identyfikatory

DOI

10.1515/fascmath-2018-0015

• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to prove a coupled coincidence fixed point theorem in complete b-fuzzy metric space using the concept of mixed monotone mappings, which represents a generalization of some recent results.

Słowa kluczowe

EN

b-fuzzy metric space; coupled common fixed point theorem; t-norm; Cauchy sequence

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 61
• Strony: 27--41
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Došenović T

• Faculty of Technology Bulevar Cara Lazara 1 University of Novi Sad, Serbia

autor

Hassanzadeh Z.

• Department of Mathematics Qaemshahr Branch Islamic Azad University Qaemshahr, Iran

autor

Sedghi S.

• Department of Mathematics Qaemshahr Branch Islamic Azad University Qaemshahr, Iran

Bibliografia

• [1] Aghajani A., Abbas M., Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces, Mathematica Slovaca, 64(4)(2014), 941-960.
• [2] Banach S., Sur les operations dans les ensembles abstraits el leur application aux equations integrals, Fundam. Math., 3(1922), 133-181.
• [3] Bhaskar T.G., Lakshmikantham V., Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis, 65(2006), 1379-1393.
• [4] Czerwik S., Contraction mappings in b-metric spaces, Acta Mathematica et Informatica Universitatis Ostraviensis, 1(1993), 5-11.
• [5] Fang J.X., On fixed point theorems in fuzzy metric spaces, Fuzzy Sets Sys., 46(1992), 107-113.
• [6] George A., Veeramani P., On some result in fuzzy metric space, Fuzzy Sets Syst., 64(1994), 395-399.
• [7] Jovanovic M., Kadelburg Z., Radenović S., Common fixed point results in metric-type spaces, Fixed Point Theory Appl., (2010), Article ID 978121, 15 pages, doi:10.1155/2010/978121.
• [8] Kramosil I., Michalek J., Fuzzy metric and statistical metric spaces, Kybernetica, 11(1975), 326-334.
• [9] Lakshmikantham V., Ćirić B.Lj., Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis, 70(2009), 4341-4349.
• [10] Menger K., Statistical metrics, Proc. Nat. Acad. Sci. U.S.A., 28(1942), 535-537.
• [11] Miheţ D., A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets Syst., 144(2004), 431-439.
• [12] Moradi S., Omid M., A fixed point theorem for integral type inequality depending on another function, Int. J. Math. Analysis, 4(30)(2010), 1491-1499.
• [13] Schweizer B., Sherwood H., Tardiff R.M., Contractions on PM-space examples and counterexamples, Stochastica, 1(1988), 5-17.
• [14] 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.
• [15] Sedghi S., Shobe N., Common fixed point theorem in b-fuzzy metric space, Nonlinear Functional Analysis and Applications, 17(3)(2012), 349-359.
• [16] Sedghi S., Shobe N., Common fixed point theorem for R-weakly commuting maps in b-fuzzy metric space, Nonlinear Functional Analysis and Applications, 19(2)(2014), 285-295.
• [17] Sedghi S., Shobe N., Došenović T., Javaheri A., Coupled fixed point theorem in b-fuzzy metric spaces, Novi Sad J. Math., 47(1)(2017), 77-88.
• [18] Sedghi S., Shobe N., Selahśhoor M.A., A common fixed point theorem for four mappings in two complete fuzzy metric spaces, Advances in Fuzzy Mathematics, 1(1)(2006).
• [19] Sedghi S., Turkoglu D., Shobe N., Generalization common fixed point theorem in complete fuzzy metric spaces, Journal of Computational Analysis and Applictions, 3(9)(2007), 337-348.
• [20] Zadeh L.A., Fuzzy sets, Inform and Control, 8(1965), 338-353.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).