Compatible and weakly compatible mappings in cone metric spaces
Samo za registrovane korisnike
2010
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
In this paper we extend and generalize common fixed point theorems for six self-maps of Singh and Jain [B. Singh, S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439–448] from Menger and metric spaces to cone metric spaces. We also extend the notions of compatible and weakly compatible mappings from the setting of Menger and metric spaces to the setting of cone metric spaces. We do not impose the normality property on the cone, but suppose only that the cone P, in the ordered Banach space E, has a nonempty interior. Examples are given to illustrate the results.
Ključne reči:
Cone metric space / Normal and non-normal cones / Common fixed point / Compatible maps / Weakly compatibleIzvor:
Mathematical and Computer Modelling, 2010, 52, 9-10, 1728-1738Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Janković, Slobodanka AU - Golubović, Zorana AU - Radenović, Stojan PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/7141 AB - In this paper we extend and generalize common fixed point theorems for six self-maps of Singh and Jain [B. Singh, S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439–448] from Menger and metric spaces to cone metric spaces. We also extend the notions of compatible and weakly compatible mappings from the setting of Menger and metric spaces to the setting of cone metric spaces. We do not impose the normality property on the cone, but suppose only that the cone P, in the ordered Banach space E, has a nonempty interior. Examples are given to illustrate the results. T2 - Mathematical and Computer Modelling T1 - Compatible and weakly compatible mappings in cone metric spaces EP - 1738 IS - 9-10 SP - 1728 VL - 52 DO - 10.1016/j.mcm.2010.06.043 ER -
@article{ author = "Janković, Slobodanka and Golubović, Zorana and Radenović, Stojan", year = "2010", abstract = "In this paper we extend and generalize common fixed point theorems for six self-maps of Singh and Jain [B. Singh, S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439–448] from Menger and metric spaces to cone metric spaces. We also extend the notions of compatible and weakly compatible mappings from the setting of Menger and metric spaces to the setting of cone metric spaces. We do not impose the normality property on the cone, but suppose only that the cone P, in the ordered Banach space E, has a nonempty interior. Examples are given to illustrate the results.", journal = "Mathematical and Computer Modelling", title = "Compatible and weakly compatible mappings in cone metric spaces", pages = "1738-1728", number = "9-10", volume = "52", doi = "10.1016/j.mcm.2010.06.043" }
Janković, S., Golubović, Z.,& Radenović, S.. (2010). Compatible and weakly compatible mappings in cone metric spaces. in Mathematical and Computer Modelling, 52(9-10), 1728-1738. https://doi.org/10.1016/j.mcm.2010.06.043
Janković S, Golubović Z, Radenović S. Compatible and weakly compatible mappings in cone metric spaces. in Mathematical and Computer Modelling. 2010;52(9-10):1728-1738. doi:10.1016/j.mcm.2010.06.043 .
Janković, Slobodanka, Golubović, Zorana, Radenović, Stojan, "Compatible and weakly compatible mappings in cone metric spaces" in Mathematical and Computer Modelling, 52, no. 9-10 (2010):1728-1738, https://doi.org/10.1016/j.mcm.2010.06.043 . .