Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations
Apstrakt
n this paper, we introduce the concept of partial coneb-metric spaces as a generalizationof partial metric, cone metric andb-metric spaces and establish some topological properties ofpartial coneb-metric spaces. Moreover, we also prove some common fixed point theorems for cycliccontractive mappings in such spaces. Our results generalize and extend the main results of Huangand Zhang [Cone metric spaces and fixed point theorems of contractive mappings,J. Math. Anal.Appl., 332:1468–1476, 2007], Stani ́c et al. [Common fixed point under contractive condition of ́Ciri ́c’s type on cone metric type spaces,Fixed Point Theory Appl., 2012:35, 2012] and Latif etal. [Fixed point results for generalized(α,ψ)-Meir–Keeler contractive mappings and applications,J. Inequal. Appl., 2014:68, 2014]. Some examples and an application are given to support theusability of the obtained results.
Ključne reči:
partial metric spaces / cone metric spaces / b-metric spaces / contractive mappings / common fixed pointIzvor:
Nonlinear Analysis-Modelling and Control, 2016, 21, 6, 807-827Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Zhu, Chuanxi AU - Xu, Wenqing AU - Došenović, Tatjana AU - Golubović, Zorana PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/7145 AB - n this paper, we introduce the concept of partial coneb-metric spaces as a generalizationof partial metric, cone metric andb-metric spaces and establish some topological properties ofpartial coneb-metric spaces. Moreover, we also prove some common fixed point theorems for cycliccontractive mappings in such spaces. Our results generalize and extend the main results of Huangand Zhang [Cone metric spaces and fixed point theorems of contractive mappings,J. Math. Anal.Appl., 332:1468–1476, 2007], Stani ́c et al. [Common fixed point under contractive condition of ́Ciri ́c’s type on cone metric type spaces,Fixed Point Theory Appl., 2012:35, 2012] and Latif etal. [Fixed point results for generalized(α,ψ)-Meir–Keeler contractive mappings and applications,J. Inequal. Appl., 2014:68, 2014]. Some examples and an application are given to support theusability of the obtained results. T2 - Nonlinear Analysis-Modelling and Control T1 - Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations EP - 827 IS - 6 SP - 807 VL - 21 DO - 10.15388/NA.2016.6.5 ER -
@article{ author = "Zhu, Chuanxi and Xu, Wenqing and Došenović, Tatjana and Golubović, Zorana", year = "2016", abstract = "n this paper, we introduce the concept of partial coneb-metric spaces as a generalizationof partial metric, cone metric andb-metric spaces and establish some topological properties ofpartial coneb-metric spaces. Moreover, we also prove some common fixed point theorems for cycliccontractive mappings in such spaces. Our results generalize and extend the main results of Huangand Zhang [Cone metric spaces and fixed point theorems of contractive mappings,J. Math. Anal.Appl., 332:1468–1476, 2007], Stani ́c et al. [Common fixed point under contractive condition of ́Ciri ́c’s type on cone metric type spaces,Fixed Point Theory Appl., 2012:35, 2012] and Latif etal. [Fixed point results for generalized(α,ψ)-Meir–Keeler contractive mappings and applications,J. Inequal. Appl., 2014:68, 2014]. Some examples and an application are given to support theusability of the obtained results.", journal = "Nonlinear Analysis-Modelling and Control", title = "Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations", pages = "827-807", number = "6", volume = "21", doi = "10.15388/NA.2016.6.5" }
Zhu, C., Xu, W., Došenović, T.,& Golubović, Z.. (2016). Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations. in Nonlinear Analysis-Modelling and Control, 21(6), 807-827. https://doi.org/10.15388/NA.2016.6.5
Zhu C, Xu W, Došenović T, Golubović Z. Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations. in Nonlinear Analysis-Modelling and Control. 2016;21(6):807-827. doi:10.15388/NA.2016.6.5 .
Zhu, Chuanxi, Xu, Wenqing, Došenović, Tatjana, Golubović, Zorana, "Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations" in Nonlinear Analysis-Modelling and Control, 21, no. 6 (2016):807-827, https://doi.org/10.15388/NA.2016.6.5 . .