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Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
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Coupled fixed point theorems in C*-algebra-valued b-metric spaces
(naslov ne postoji na srpskom)
aDžavni univerzitet u Novom Pazaru, Srbija
bDepaartment of Mathematics and Computer Sciences, University of Palermo, Palermo, Italy
cDepaartment of Mathematics, Vinh University, Vinh City, Vietnam
Sažetak
(ne postoji na srpskom)
In this paper, we give some coupled fixed point results in the framework of C*- algebra-valued b-metric spaces and in particular in the setting of C* algebra-valued metric spaces. These results, with shorter proofs, generalize and improve other theorems recently introduced. We have used a method of reducing coupled fixed point results to the respective ones for mappings with one variable in the framework of b-metric spaces. Finally, two examples are given to support our theoretical work.
Reference
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Bai, C. (2016) Coupled fixed point theorems in C ∗ $C^{*}$ -algebra-valued b-metric spaces with application. Fixed Point Theory and Applications, 2016(1):
Czerwik, S. (1993) Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis, 5-11; 1
Deimling, K. (1985) Nonlinear functional analysis. Springer Verlag
Dung, N.V., Hang, V.T.L., Djekić, D.D. (submitted) A simple approach to results in C*-algebra-value bmetric spaces
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Kadelburg, Z., Radenović, S. (2016) Fixed point results in C ∗ $C^{*}$ -algebra-valued metric spaces are direct consequences of their standard metric counterparts. Fixed Point Theory and Applications, 2016(1):
Kamran, T., Postolache, M., Ghiura, A., Batul, S., Ali, R. (2016) The Banach contraction principle in C ∗ $C^{*}$ -algebra-valued b-metric spaces with application. Fixed Point Theory and Applications, 2016(1):
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Ma, Z., Jiang, L. (2015) C∗-algebra-valued b-metric spaces and related fixed point theorems. Fixed Point Theory Appl., 222; 2015
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Murphy, G.J. (1990) C*-algebras and operator theory. Boston: Academic Press
N.V., Dung, V.T. (2016) Le Hang, On relaxations of contraction constants and Caristis theorem in b-metric spaces. J Fixed Point Theory Appl., 18, 267-284
Qiaoling, X., Lining, J., Zhenhua, M. (2015) Common fixed point theorems inC∗-algebra-valued metric spaces. arXiv: 1506. 05545v2[math. FA] 30 Jun
Radenović, S. (2014) Coupled fixed point theorems for monotone mappings in partially ordered metric spaces. Kragujevac Journal of Mathematics, vol. 38, br. 2, str. 249-257
Shehwar, D., Kamran, T. (2015) C∗-valued G-contractions and fixed points. J Inequal. Appl., 304; 2015
Tianqing, C.A.O. (2016) Some coupled fixed point theorems in C∗-algebra-valued metric spaces. arXiv: 160. 07168v1[math. OA] 26 Jan
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/SPSUNP1701081R
objavljen u SCIndeksu: 21.05.2017.

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