×
Di Bari, Cristina; Vetro, Pasquale

Common fixed points in generalized metric spaces. (English) Zbl 1248.54023

Appl. Math. Comput. 218, No. 13, 7322-7325 (2012).
The authors study the existence of common fixed points for two maps called weakly contractive. The obtained results are not so far from the Banach contraction principle.
Reviewer: Lech Górniewicz (Toruń)

Cited in 27 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems

Keywords:

generalized metric; weakly contractive condition; contraction of integral type; fixed point; common fixed points
PDF BibTeX XML Cite
\textit{C. Di Bari} and \textit{P. Vetro}, Appl. Math. Comput. 218, No. 13, 7322--7325 (2012; Zbl 1248.54023)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] Azam, A.; Arshad, M., Kannan fixed point theorem on generalized metric spaces, J. nonlinear sci. appl., 1, 45-48, (2008) · Zbl 1161.54022
[2] Branciari, A., A fixed point theorem of banach – caccioppoli type on a class of generalized metric spaces, Publ. math. debrecen, 57, 31-37, (2000) · Zbl 0963.54031
[3] Das, P., A fixed point theorem in a generalized metric space, Soochow J. math., 33, 1, 33-39, (2007) · Zbl 1137.54024
[4] Das, P.; Lahiri, B.K., Fixed point of a ljubomir ćirić’s quasi-contraction mapping in a generalized metric space, Publ. math. debrecen, 61, 589-594, (2002) · Zbl 1006.54059
[5] Das, P.; Lahiri, B.K., Fixed point of contractive mappings in generalized metric spaces, Math. slovaca, 59, 4, 499-504, (2009) · Zbl 1240.54119
[6] Fora, A.; Bellour, A.; Al-Bsoul, A., Some results in fixed point theory concerning generalized metric spaces, Mat. vesnik, 61, 3, 203-208, (2009) · Zbl 1265.54168
[7] H. Lakzian, B. Samet, Fixed point for \((\psi, \phi)\)-weakly contractive mappings in generalized metric spaces, Appl. Math. Lett. doi:10.1016/j.aml.2011.10.047. · Zbl 1241.54034
[8] Miheţ, D., On Kannan fixed point principle in generalized metric spaces, J. nonlinear sci. appl., 2, 2, 92-96, (2009) · Zbl 1171.54032
[9] Samet, B., A fixed point theorem in a generalized metric space for mappings satisfying a contractive condition of integral type, Int. J. math. anal., 3, 26, 1265-1271, (2009) · Zbl 1196.54084
[10] Samet, B., Discussion on: A fixed point theorem of banach – caccioppoli type on a class of generalized metric spaces by A. branciari, Publ. math. debrecen., 76, 4, 493-494, (2010) · Zbl 1224.54106
[11] Sarma, I.R.; Rao, J.M.; Rao, S.S., Contractions over generalized metric spaces, J. nonlinear sci. appl., 2, 3, 180-182, (2009) · Zbl 1173.54311
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.