Eksistensi Titik Tetap Pemetaan C-Kontraktif Diperumum pada Ruang Metrik Parsial Kompleks
DOI:
https://doi.org/10.26594/jmpm.v6i2.2138Keywords:
C-kontraktif, metrik parsial komplkesAbstract
Tujuan penelitian ini adalah untuk menjelaskan dan membuktikan eksistensi dan ketunggalan titik tetap persekutuan dari pemetaan C-kontraktif lemah yang diperumum pada ruang metrik parsial kompleks. Dalam artikel ini dipaparkan beberapa teorema terkait ruang metrik kompleks dan ruang metrik parsial kompleks sebagai dasar dalam membuktikan teorema teorema titik tetap. Teorema utama yang diperoleh memperumum beberapa teorema-teorema terdahulu di ruang metrik kompleks yang telah dibuktikan.
References
Abbas, M., De La Sen, M., & Nazir, T. (2015). Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces. Discrete Dynamics in Nature and Society, 1–11. https://doi.org/10.1155/2015/147303
Azam, A., Fisher, B., & Khan, M. (2011). Common fixed point theorems in complex valued metric spaces. Numerical Functional Analysis and Optimization, 32(3), 243–253. https://doi.org/10.1080/01630563.2011.533046
Chatterjea, S. K. (2010). Fixed point theorems. The Princeton Companion to Mathematics, 25, 693–696. https://doi.org/10.2307/2311404
Chen, C., & Zhu, C. (2013). Common fixed point theorems for weakly c-contractive mappings in partial metric spaces. Fixed Point Theory and Applications, 1–16. https://doi.org/10.22436/jnsa.009.01.04
Choudhury, B. S. (2009). Unique fixed point theorem for weakly C-contractive mappings. Kathmandu University Journal of Science, Engineering and Technology, 5(I), 6–13. https://doi.org/10.17654/FJMSDec2015_897_914
Dhivya, P., & Marudai, M. (2017). Common fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered complex partial metric space. Cogent Mathematics, 4, 1–10. https://doi.org/10.1080/23311835.2017.1389622
Gunaseelan, M., & Mishra, L. N. (2019). Coupled fixed point theorems on complex partial metric space using different type of contractive conditions. Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and Mechanics, 11(2), 117–123. https://doi.org/10.5937/spsunp1902117g
Harjani, J., López, B., & Sadarangani, K. (2011). Fixed point theorems for weakly C-contractive mappings in ordered metric spaces. Computers and Mathematics with Applications, 61(4), 790–796. https://doi.org/10.1016/j.camwa.2010.12.027
Klin-Eam, C., & Suanoom, C. (2013). Some common fixed-point theorems for generalized-contractive-type mappings on complex-valued metric spaces. Abstract and Applied Analysis, 2013, 1–6. https://doi.org/10.1155/2013/604215
Matthews, S. G. (1994). Partial Metric Topology. Proceedings Eight Summer Conference on General Topology and Applications, in: Annals of the New York Academy of Sciences, 728, 183–197. https://doi.org/10.1016/j.topol.2012.11.004
Shatanawi, W. (2011). Fixed point theorems for nonlinear weakly C-contractive mappings in metric spaces. Mathematical and Computer Modelling, 54(11–12), 2816–2826. https://doi.org/10.1016/j.mcm.2011.06.069
Downloads
Published
Issue
Section
License
The formal legal aspect of access to any information and articles contained in this journal website refers to the Creative Commons Attribution 4.0 International (CC BY 4.0) license terms.
