DOI: https://doi.org/10.14710/jfma.v4i1.10653

CONDITIONS ON UNIQUENESS OF LIMIT POINT AND COMPLETENESS IN CONE POLYGONAL METRIC SPACES

*Sie, Evan Setiawan  -  Institut Teknologi Sepuluh Nopember, Indonesia
Mahmud Yunus  -  Institut Teknologi Sepuluh Nopember, Indonesia

Citation Format:
Abstract
This paper discusses cone polygonal metric spaces. We analyze some characteristics derived from convergence and Cauchyness of sequences. Our result consists of some conditions on uniqueness of limit point and completeness in cone polygonal metric spaces.
Fulltext View|Download
Keywords: Cone metric spaces; Cone polygonal metric spaces; Convergence and Cauchyness; Completeness; Nested closed-ball property

Article Metrics:

Article Info
Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
Recent articles
TOPOLOGI DI RUANG METRIK PSEUDO-b_s PENERAPAN PROGRAM LINIER MENGGUNAKAN METODE DUAL SIMPLEKS DAN METODE QUICK SIMPLEKS UNTUK MEMINIMUMKAN BIAYA (STUDI KASUS: KELOMPOK WANITA TANI (KWT) SENTOSA SANTUL) MATHEMATICAL EXPANSION OF SPECIAL THEORY OF RELATIVITY ONTO ACCELERATIONS More recent articles
  1. L.-G. Huang and X. Zhang, "Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings," Journal of Mathematical Analysis and Applications, vol. 332, pp. 1468-1476, 2007
  2. A. Azam, M. Arshad and I. Beg, "Banach Contraction Principle on Cone Rectangular Metric Spaces," Applicable Analysis and Discrete Mathematics, vol. 3, pp. 236-241, 2009
  3. M. Garg and S. Agarwal, "Banach Contraction Principle on Cone Pentagonal Metric Space," Journal of Advanced Studies in Topology, vol. 3, no. 1, pp. 12-18, 2012
  4. M. Garg, "Banach Contraction Principle on Cone Hexagonal Metric Space," Ultra Scientist, vol. 26, no. 1, pp. 97-103, 2014
  5. C. B. Ampadu, "Chatterjea Contraction Mapping Theorem in Cone Heptagonal Metric Space," Fundamental Journal of Mathematics and Mathematical Sciences, vol. 7, no. 1, pp. 15-23, 2017
  6. B. Samet, "Discussion on "A Fixed Point Theorem of Banach-Caccioppoli Type on a Class of Generalized Metric Spaces" by A. Branciari," Publ. Math. Debrecen, vol. 76, no. 4, pp. 493-494, 2010
  7. H.-P. Huang and S.-Y. Xu, "Some New Topological Properties in Cone Metric Spaces," J. of Math. (PRC), vol. 35, no. 3, pp. 513-518, 2015
  8. M. A. Khamsi, "Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings," Fixed Point Theory and Applications, 2010
  9. I. G. Araus and J. L. Ramirez, "Fixed Point Theorems in N-Polygonal Cone Metric Spaces," Bulletin of Mathematical Analysis and Applications, vol. 5, no. 1, pp. 22-35, 2013
  10. S. Jankovic, Z. Kadelburg and S. Radenovic, "On Cone Metric Spaces: A Survey," Nonlinear Analysis, vol. 74, pp. 2591-2601, 2011
  11. S. E. Setiawan, Sunarsini and Sadjidon, "Completeness and Fixed Point Theorem in Cone Rectangular Metric Spaces," Journal of Physics: Conference Series, vol. 1490, 2020

Last update:

No citation recorded.

Last update:

No citation recorded.