• Title/Summary/Keyword: reflexive

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Ambiguity of Reflexives and Case Extension

  • Zuber, Richard
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2007.11a
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    • pp.542-547
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    • 2007
  • It is suggested that the difference between co-referential and bound reflexive pronouns found in many languages can be accounted for by using the notion of the case extension of a type <1> quantifier. Given this proposal the co-referential pronouns get their meaning when the corresponding NP takes nominal case extension first. Bound reflexives are reflexivisers in the sense that they are not case extensions of quantifiers although they also transform binary relations into sets. Examples from Japanese and from Polish are discussed.

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A Note on GQ-injectivity

  • Kim, Jin-Yong
    • Kyungpook Mathematical Journal
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    • v.49 no.2
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    • pp.389-392
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    • 2009
  • The purpose of this note is to improve several known results on GQ-injective rings. We investigate in this paper the von Neumann regularity of left GQ-injective rings. We give an answer a question of Ming in the positive. Actually it is proved that if R is a left GQ-injective ring whose simple singular left R-modules are GP-injective then R is a von Neumann regular ring.

Remarks on Fixed Point Theorems of Non-Lipschitzian Self-mappings

  • Kim, Tae-Hwa;Jeon, Byung-Ik
    • Kyungpook Mathematical Journal
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    • v.45 no.3
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    • pp.433-443
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    • 2005
  • In 1994, Lim-Xu asked whether the Maluta's constant D(X) < 1 implies the fixed point property for asymptotically nonexpansive mappings and gave a partial solution for this question under an additional assumption for T, i.e., weakly asymptotic regularity of T. In this paper, we shall prove that the result due to Lim-Xu is also satisfied for more general non-Lipschitzian mappings in reflexive Banach spaces with weak uniform normal structure. Some applications of this result are also added.

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A NEW ALGORITHM FOR SOLVING MIXED EQUILIBRIUM PROBLEM AND FINDING COMMON FIXED POINTS OF BREGMAN STRONGLY NONEXPANSIVE MAPPINGS

  • Biranvand, Nader;Darvish, Vahid
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.777-798
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    • 2018
  • In this paper, we study a new iterative method for solving mixed equilibrium problem and a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which also are solutions of a mixed equilibrium problem.

THE SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING MONOTONE BILEVEL EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE

  • Roushanak Lotfikar;Gholamreza Zamani Eskandani;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.337-363
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    • 2023
  • In this paper, we propose a new subgradient extragradient algorithm for finding a solution of monotone bilevel equilibrium problem in reflexive Banach spaces. The strong convergence of the algorithm is established under monotone assumptions of the cost bifunctions with Bregman Lipschitz-type continuous condition. Finally, a numerical experiments is reported to illustrate the efficiency of the proposed algorithm.

CATEGORICAL PROPERTIES OF PREORDERED INTUITIONISTIC FUZZY APPROXIMATION SPACES

  • Sang Min Yun;Seok Jong Lee
    • Journal of the Chungcheong Mathematical Society
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    • v.36 no.2
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    • pp.135-148
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    • 2023
  • We prove that for any preordered intuitionistic fuzzy approximation space, an intuitionistic fuzzy topology can be created, and conversely, for any intuitionistic fuzzy topology, a reflexive intuitionistic fuzzy relation can be constructed. We also show that there is a relationship, called Galois correspondence, between the functors of these categories. Additionally, by applying certain limitations on the category of intuitionistic fuzzy topological spaces, we obtain an isomorphism between these categories.

COHEN-MACAULAY DIMENSION FOR COMPLEXES

  • Fatemeh Mohammadi Aghjeh Mashhad
    • Communications of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.303-311
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    • 2024
  • In this paper, our focus lies in exploring the concept of Cohen-Macaulay dimension within the category of homologically finite complexes. We prove that over a local ring (R, 𝔪), any homologically finite complex X with a finite Cohen-Macaulay dimension possesses a finite CM-resolution. This means that there exists a bounded complex G of finitely generated R-modules, such that G is isomorphic to X and each nonzero Gi within the complex G has zero Cohen-Macaulay dimension.

The Study of Dependence on Sportswear and the Effects of Wearing Sportswear (스포츠웨어에 대한 의존성과 착용효과에 관한 연구)

  • Park, Soozin;Ahn, Minyoung;Lee, Yuri
    • Journal of the Korean Society of Clothing and Textiles
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    • v.39 no.1
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    • pp.77-90
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    • 2015
  • When enjoying sports activities with friends or others, sportswear has symbolic meanings to express and expect self-concept. Sports players sometimes have trouble when they feel embarrassed by their low skills or care about other people too much. Therefore, researchers tried to find out which feature of sports players affects dependence on brand sportswear along with the effect of wearing conspicuous sportswear on wearer when sports players have a conflict based on Solomon's symbolic interactionism. We proposed that role knowledge and attention to social comparison information (ATSCI) influenced people to depend on and use brand sportswear that influences a reflexive evaluation. Finally, we suggested that a changed self-concept would exert influence commitment to sports. A quantitative study was conducted employing an online survey of 121 people by convenient sampling. In this process, Google Docs was to create the online survey and to collect responses by participants. In data processing, via SPSS 21.0 version for Windows, exploratory factor analysis, Cronbach's ${\alpha}$, ANOVA, t-test, discriminant and regression analysis were conducted to study the relationship between variables. The finding provided evidence that low role knowledge and high ATSCI create high dependence on brand sportswear and influence people to buy sportswear. When people bought and wore a brand sportswear, they evaluated themselves as professional sports players who were more committed to sports. This study confirmed that brand sportswear was useful for sport players to change self-evaluation and enjoy sports.

Study on Self-Reflexivity of Changgeuk Seopyenje (창극 <서편제>의 자기반영성 연구)

  • LEE, JINJOO
    • (The) Research of the performance art and culture
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    • no.32
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    • pp.333-370
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    • 2016
  • This study examines self-reflexive scenes of Changgeuk [창극; Korean classical opera] Seopyenje [서편제]. This show deals with Pansori [판소리; a kind of Korean folk play] and its singers. The uniqueness of this show is that although it is a new creative work of Changgeuk, the traditional Pansori music is used intactly. These characteristics are related to some self-reflexive scenes in the show: the narcissistic reference of Pansori makes to seem that this show inherits a artistry of Pansori; a play within a play and a role-play reinforce a reality on the action and characters of outer play; an intertextuality, bringing the narrative and music of Pansori Simcheong-ga [심청가] in this show, it makes audiences spontaneously discover a connection between the cited original text and the hypertext. Namely, the self-reflexivity of Changgeuk Seopyenje doesn't destroy an illusion, but rather it presents a kind of conservative self-reflexivity which uncovers a part of tricks for the illusion in order to create new illusion.