• Title/Summary/Keyword: G-Cauchy sequence

Search Result 4, Processing Time 0.015 seconds

SUBSERIES CONVERGENCE AND SEQUENCE-EVALUATION CONVERGENCE

  • Cho, Min-Hyung;Hwang, Hong Taek;Yoo, Won Sok
    • Korean Journal of Mathematics
    • /
    • v.6 no.2
    • /
    • pp.331-339
    • /
    • 1998
  • We show a series of improved subseries convergence results, e.g., in a sequentially complete locally convex space X every weakly $c_0$-Cauchy series on X must be $c_0$-convergent. Thus, if X contains no copy of $c_0$, then every weakly $c_0$-Cauchy series on X must be subseries convergent.

  • PDF

COUPLED FIXED POINT RESULTS IN G-FUZZY METRIC SPACES FOR WEAKLY COMPATIBLE MAPPINGS

  • Das, Krishnapada;Sarkar, Krishna Kanta
    • Korean Journal of Mathematics
    • /
    • v.29 no.3
    • /
    • pp.455-466
    • /
    • 2021
  • Coupled fixed point results have attracted much attention among the researchers in recent times specially in the field of fuzzy metric spaces. In this paper we established a coupled fixed point result for weakly compatible mappings in G-fuzzy metric spaces. We have deduced a corollary to our main theorem. Our result also supported by examples.