TITIK TETAP PERSEKUTUAN EMPAT PEMETAAN KONTRAKTIF PADA RUANG METRIK CONE

Ainal Mawaddah, Muhammad Mahfuzh Shiddiq, Nurul Huda

Abstract


called cone metrics. A non-empty set X with a metric cone d is called cone metric space. A mapping has a unique fixed point if the mapping is contractive mapping. The concept of a fixed point of fellowship in the cone metric space must also satisfy some coincidence point, point of coincidence, and weakly compatible mapping conditions. This study examines the fixed point of fellowship for four contractive mappings in the cone metric space. The result of this study indicate that four mapping S, T, I and J have a unique fixed point of association in the cone metric space.
Keywords: cone metric space, common fixed point,contractive mapping, coincidence point, point of coincidence, weakly compatible.


Full Text:

PDF

References


Abbas, M. & G. Jungck. 2007. Common fixed point results for noncommuting mappings without continuity in cone metric spaces. Journal of Mathematical Analysis and Applications.341: 416-420.

Alimohammady, M., J. Balooee, S. Radojevic, V. Rakocevic, M. Roohi. 2011. Conditions of regularity in cone metric spaces. Applied Mathematics and ComputationElsevier.217: 6359-6363.

Bartle, R. G., & D. R . Shelbert. 2000. Introductory to Real Analysis.Edisi ke-3. John Wiley dan Sons. Inc, New York.

Binayak S. Choudhury and N Metiya, Fixed Points Of Weak Contraction in Cone Metric Spaces, Nonlinier Anal. 72(2010)1589-1593.

http://dx.doi.org/10.1016/j.na.2009.08.040

Guang, H.L & Z. Xian. 2006. Cone metric spaces and fixed point theorems of contractive mappings. Journal of Mathematical Analysis and Applications.332: 1468–1476.

H. Aydi, H. K. Nashine. 2012. Common Fixed Point for Generalized Contractive Mappings in Cone Metric Space. Vol. 2012, Article ID jnaa-00133, p. 12, doi : 10.5899/2012/jnaa-00133.




DOI: https://doi.org/10.20527/epsilon.v13i2.2468

Refbacks

  • There are currently no refbacks.


Copyright (c) 2020 JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON

Indexed by:

          

 

EDITORIAL OFFICE 

           

 

 

 

Creative Commons License
JMMTE is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.