Teori Titik Tetap Pemetaan C-kontraktif di Ruang Metrik Kompleks
Keywords:
titik tetap, C-kontraktif, metrik kompleks
Abstract
Konsep titik tetap suatu pemetaan sangat terkait dengan ruang abstrak pemetaan tersebut berada. Ruang metrik kompleks merupakan perumuman dari ruang metrik. Dalam tulisan ini, dijelaskan mengenai eksistensi dan ketunggalan titik tetap pemetaan C-kontraktif di ruang metrik kompleks Selanjutnya, hasil yang diperoleh diperluas pada pemetaan C-kontraktif lemah dan ditunjukkan eksistensi dan ketunggalan titik tetapnya di ruang metrik kompleks.
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References
Ahmad, J., Azam, A., & Saejung, S., 2014. Common fixed point results for contractive mappings in complex valued metric spaces. Fixed Point Theory Appl., 67,:https://fixedpointtheoryandapplications.springer open.com/track/pdf/10.1186/1687-1812-2014-67.
Azam, A., Fisher, B., and Khan, M., 2011, Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim., vol. 32, no. 3, pp. 243–253.
Banach, S., 1922, Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math., vol. 3, pp. 133 -181.
Chatterjea, S. K., 1972, Fixed Point Theorems, C. R. Acad. Bulg. Sci., vol. 25, pp. 727–730, 1972.
Choudhury, S., 2009, Unique Fixed Point Theorem for Weakly C-contractive Mappings, Kathmandu Univ. J. Sci. Eng. Technol., vol. 5, no. I, pp. 6–13.
Rhoades, B. E., 2001, Some Theorems on Weakly Contractive Maps, Nonlinear Analysis: Theory, Methods and Applications, vol. 47, no. 4, pp.2683 - 2693.
Azam, A., Fisher, B., and Khan, M., 2011, Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim., vol. 32, no. 3, pp. 243–253.
Banach, S., 1922, Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math., vol. 3, pp. 133 -181.
Chatterjea, S. K., 1972, Fixed Point Theorems, C. R. Acad. Bulg. Sci., vol. 25, pp. 727–730, 1972.
Choudhury, S., 2009, Unique Fixed Point Theorem for Weakly C-contractive Mappings, Kathmandu Univ. J. Sci. Eng. Technol., vol. 5, no. I, pp. 6–13.
Rhoades, B. E., 2001, Some Theorems on Weakly Contractive Maps, Nonlinear Analysis: Theory, Methods and Applications, vol. 47, no. 4, pp.2683 - 2693.
Published
2020-09-16
How to Cite
Ansar, A., & Hikmah, H. (2020). Teori Titik Tetap Pemetaan C-kontraktif di Ruang Metrik Kompleks. SAINTIFIK, 6(2), 149-157. https://doi.org/10.31605/saintifik.v6i2.270
Section
Articles
Copyright (c) 2020 Ahmad Ansar, Hikmah Hikmah
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