Abed Al-Rahman M. Malkawi, "Analysis of Cauchy Sequence Convergence and Uniqueness in MRMetric
Spaces," WSEAS Transactions on Mathematics, vol. 25, pp. 215-219, 2026, DOI:10.37394/23206.2026.25.21
Abed Al-Rahman M. Malkawi. Analysis of Cauchy Sequence Convergence and Uniqueness in MRMetric
Spaces.
WSEAS Transactions on Mathematics. 2026;25:215-219. 10.37394/23206.2026.25.21
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
Analysis of Cauchy Sequence Convergence and Uniqueness in MRMetric
Spaces
Author:
Abstract: This paper delves into the exploration of MR-metric spaces, [1], which serve as an advanced extension
of D-metric spaces, focusing on the behavior of MR-Cauchy and MR-convergent sequences. It identifies the
criteria necessary for ensuring both the existence and uniqueness of fixed points for self-maps within MR-metric
spaces that are complete and bounded. The findings introduce innovative fixed-point theorems under particular
contraction conditions and provide examples to illustrate the characteristics and dynamics of sequences within
these spaces.
Pages: 215-219 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 25, 2026, Art. #21 DOI: 10.37394/23206.2026.25.21
×
Citation Tools