A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations
Abstract
In this paper we obtain some equivalences between cyclic contractions and non-cyclic contractions in the framework of b-metric spaces. Our results improve and complement several recent fixed point results for cyclic contractions in b -metric spaces established by George et al. (2015) and Nashine et al. (2014). Moreover, all the results are with much shorter proofs. In addition, an application to integral equations is given to illustrate the usability of the obtained results.
Keywords:
b-metric space / Cyclic map / Fixed point / Integral equationSource:
Applied Mathematics and Computation, 2016, 273, 155-164Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Radenović, Stojan AU - Došenović, Tatjana AU - Aleksić-Lampert, Tatjana AU - Golubović, Zorana PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/7144 AB - In this paper we obtain some equivalences between cyclic contractions and non-cyclic contractions in the framework of b-metric spaces. Our results improve and complement several recent fixed point results for cyclic contractions in b -metric spaces established by George et al. (2015) and Nashine et al. (2014). Moreover, all the results are with much shorter proofs. In addition, an application to integral equations is given to illustrate the usability of the obtained results. T2 - Applied Mathematics and Computation T1 - A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations EP - 164 SP - 155 VL - 273 DO - 10.1016/j.amc.2015.09.089 ER -
@article{ author = "Radenović, Stojan and Došenović, Tatjana and Aleksić-Lampert, Tatjana and Golubović, Zorana", year = "2016", abstract = "In this paper we obtain some equivalences between cyclic contractions and non-cyclic contractions in the framework of b-metric spaces. Our results improve and complement several recent fixed point results for cyclic contractions in b -metric spaces established by George et al. (2015) and Nashine et al. (2014). Moreover, all the results are with much shorter proofs. In addition, an application to integral equations is given to illustrate the usability of the obtained results.", journal = "Applied Mathematics and Computation", title = "A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations", pages = "164-155", volume = "273", doi = "10.1016/j.amc.2015.09.089" }
Radenović, S., Došenović, T., Aleksić-Lampert, T.,& Golubović, Z.. (2016). A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations. in Applied Mathematics and Computation, 273, 155-164. https://doi.org/10.1016/j.amc.2015.09.089
Radenović S, Došenović T, Aleksić-Lampert T, Golubović Z. A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations. in Applied Mathematics and Computation. 2016;273:155-164. doi:10.1016/j.amc.2015.09.089 .
Radenović, Stojan, Došenović, Tatjana, Aleksić-Lampert, Tatjana, Golubović, Zorana, "A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations" in Applied Mathematics and Computation, 273 (2016):155-164, https://doi.org/10.1016/j.amc.2015.09.089 . .