• Title/Summary/Keyword: Convergent sequence

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SOME RESULTS ON p-DISTANCE AND SEQUENCE OF COMPLEX UNCERTAIN VARIABLES

  • Roy, Santanu;Saha, Sangeeta;Tripathy, Binod Chandra
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.907-916
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    • 2020
  • In this paper, we introduce the notion of p-distance in a complex uncertain sequence space. By using the concepts of p-distance, we give some theorems of convergence. Also, in a complex uncertain sequence space, we develope some properties on convergence in measure.

SUBSERIES CONVERGENCE AND SEQUENCE-EVALUATION CONVERGENCE

  • Cho, Min-Hyung;Hwang, Hong Taek;Yoo, Won Sok
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.331-339
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    • 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.

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A SELF SCALING MULTI-STEP RANK ONE PATTERN SEARCH ALGORITHM

  • Moghrabi, Issam A.R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.4
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    • pp.267-275
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    • 2011
  • This paper proposes a new quickly convergent pattern search quasi-Newton algorithm that employs the multi-step version of the Symmetric Rank One (SRI). The new algorithm works on the factorizations of the inverse Hessian approximations to make available a sequence of convergent positive bases required by the pattern search process. The algorithm, in principle, resembles that developed in [1] with multi-step methods dominating the dervation and with numerical improvements incurred, as shown by the numerical results presented herein.

ON LACUNARY ∆m-STATISTICAL CONVERGENCE IN G-METRIC SPACES

  • Asif Hussain Jan;Tanweer Jalal
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.109-120
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    • 2024
  • The aim of this research is to describe lacunary ∆m-statistically convergent sequences with respect to metrics on generalised metric spaces (g-metric spaces) and to look into the fundamental characteristics of this statistical form of convergence. Also, the relationship between strong summability and lacunary ∆m-statistical convergence in g-metric space is established at the end.

Some results on metric fixed point theory and open problems

  • Kim, Tae-Hwa;Park, Kyung-Mee
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.725-742
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    • 1996
  • In this paper we give some sharp expressions of the weakly convergent sequence coefficient WCS(X) of a Banach space X. They are used to prove fixed point theorems for involution mappings T from a weakly compact convex subset C of a Banach space X with WCS(X) > 1 into itself which $T^2$ are both of asymptotically nonexpansive type and weakly asymptotically regular on C. We also show that if X satisfies the semi-Opial property, then every nonexpansive mapping $T : C \to C$ has a fixed point. Further, some questions for asymtotically nonexpansive mappings are raised.

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Activation of Cryptic hop Genes from Streptomyces peucetius ATCC 27952 Involved in Hopanoid Biosynthesis

  • Ghimire, Gopal Prasad;Koirala, Niranjan;Sohng, Jae Kyung
    • Journal of Microbiology and Biotechnology
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    • v.25 no.5
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    • pp.658-661
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    • 2015
  • Genes encoding enzymes with sequence similarity to hopanoids biosynthetic enzymes of other organisms were cloned from the hopanoid (hop) gene cluster of Streptomyces peucetius ATCC 27952 and transformed into Streptomyces venezuelae YJ028. The cloned fragments contained four genes, all transcribed in one direction. These genes encode polypeptides that resemble polyprenyl diphosphate synthase (hopD), squalene-phytoene synthases (hopAB), and squalene-hopene cyclase (hopE). These enzymes are sufficient for the formation of the pentacyclic triterpenoid lipid, hopene. The formation of hopene was verified by gas chromatography/mass spectrometry.

CERTAIN SEQUENCE SPACES AND RELATED DUALS WITH RESPECT TO THE b-METRIC

  • Kadak, Ugur
    • Communications of the Korean Mathematical Society
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    • v.31 no.2
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    • pp.277-294
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    • 2016
  • The aim of this paper is to present the classical sets of sequences and related matrix transformations with respect to the b-metric. Also, we introduce the relationships between these sets and their classical forms with corresponding properties including convergence and completeness. Further we determine the duals of the new spaces and characterize matrix transformations on them into the sets of b-bounded, b-convergent and b-null sequences.

INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE

  • Vijayabalaji, Srinivasan;Thillaigovindan, Natesan;Jun, Young-Bae
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.2
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    • pp.291-308
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    • 2007
  • The motivation of this paper is to present a new and interesting notion of intuitionistic fuzzy n-normed linear space. Cauchy sequence and convergent sequence in intuitionistic fuzzy n-normed linear space are introduced and we provide some results onit. Furthermore we introduce generalized cartesian product of the intuitionistic fuzzy n-normed linear space and establish some of its properties.