• 제목/요약/키워드: Pseudo

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MODIFIED MANN'S ALGORITHM BASED ON THE CQ METHOD FOR PSEUDO-CONTRACTIVE MAPPINGS

  • Yao, Yonghong;Zhou, Haiyun;Liou, Yeong-Cheng
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1499-1506
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    • 2010
  • IIn this paper, we suggest and analyze a modified Mann's algorithm based on the CQ method for pseudo-contractive mappings in Hilbert spaces. Further, we prove a strong convergence theorem according to the proposed algorithm for pseudo-contractive mappings.

SHARP FUNCTION AND WEIGHTED $L^p$ ESTIMATE FOR PSEUDO DIFFERENTIAL OPERATORS WITH REDUCED SYMBOLS

  • Kim, H.S.;Shin, S.S.
    • East Asian mathematical journal
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    • 제6권2호
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    • pp.133-144
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    • 1990
  • In 1982, N. Miller [5] showed a weighted $L^p$ boundedness theorem for pseudo differential operators with symbols $S^0_{1.0}$. In this paper, we shall prove the pointwise estimates, in terms of the Fefferman, Stein sharp function and Hardy Littlewood maximal function, for pseudo differential operators with reduced symbols and show a weighted $L^p$-boundedness for pseudo differential operators with symbol in $S^m_{\rho,\delta}$, 0{$\leq}{\delta}{\leq}{\rho}{\leq}1$, ${\delta}{\neq}1$, ${\rho}{\neq}0$ and $m=(n+1)(\rho-1)$.

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THE EQUIVALENCE OF COMPACTNESS AND PSEUDO-COMPACTNESS IN SOME FUNCTION SPACES

  • Atkins, John;Reynolds, Donald F.;Henry, Michael
    • Kyungpook Mathematical Journal
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    • 제28권1호
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    • pp.79-82
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    • 1988
  • This paper investigates the relationship between compactness and pseudo-compactness in subsets of C(X) where X is locally compact and first countable. Two primary theorems are proven. First, equicontinuity at a point is proven to be equivalent to the existence of a certain open cover of a pseudo-compact subset of C(X). The second theorem proves the equivalence of compactness and pseudo-compctness for closed subsets F of C(X).

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On N(κ)-Contact Metric Manifolds Satisfying Certain Curvature Conditions

  • De, Avik;Jun, Jae-Bok
    • Kyungpook Mathematical Journal
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    • 제51권4호
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    • pp.457-468
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    • 2011
  • We consider pseudo-symmetric and Ricci generalized pseudo-symmetric N(${\kappa}$) contact metric manifolds. We also consider N(${\kappa}$)-contact metric manifolds satisfying the condition $S{\cdot}R$ = 0 where R and S denote the curvature tensor and the Ricci tensor respectively. Finally we give some examples.

SYMMETRIC AND PSEUDO-SYMMETRIC NUMERICAL SEMIGROUPS VIA YOUNG DIAGRAMS AND THEIR SEMIGROUP RINGS

  • Suer, Meral;Yesil, Mehmet
    • 대한수학회지
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    • 제58권6호
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    • pp.1367-1383
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    • 2021
  • This paper studies Young diagrams of symmetric and pseudo-symmetric numerical semigroups and describes new operations on Young diagrams as well as numerical semigroups. These provide new decompositions of symmetric and pseudo-symmetric semigroups into a numerical semigroup and its dual. It is also given exactly for what kind of numerical semigroup S, the semigroup ring 𝕜⟦S⟧ has at least one Gorenstein subring and has at least one Kunz subring.

EXISTENCE OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STEPANOV FORCING TERMS.

  • Lee, Hyun Mork
    • 충청수학회지
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    • 제33권3호
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    • pp.351-363
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    • 2020
  • We introduce a new concept of Stepanov weighted pseudo almost periodic functions of class r which have been established by recently in [20]. Furthermore, we study the uniqueness and existence of Stepanov weighted pseudo almost periodic mild solutions of partial neutral functional differential equations having the Stepanov pseudo almost periodic forcing terms on finite delay.

ON THE REDUCTION OF AN IWASAWA MODULE

  • Oh, Jangheon
    • Korean Journal of Mathematics
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    • 제29권2호
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    • pp.267-269
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    • 2021
  • A finitely generated torsion module M for ℤp[[T, T2, ⋯ , Td]] is pseudo-null if M/TM is pseudo-null over ℤp[[T2, ⋯ , Td]]. This result is used as a tool to prove the generalized Greenberg's conjecture in certain cases. The converse may not be true. In this paper, we give examples of pseudo-null Iwasawa modules whose reduction are not pseudo-null.

PSEUDO JORDAN HOMOMORPHISMS AND DERIVATIONS ON MODULE EXTENSIONS AND TRIANGULAR BANACH ALGEBRAS

  • Ebadian, Ali;Farajpour, Fariba;Najafzadeh, Shahram
    • 호남수학학술지
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    • 제43권1호
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    • pp.68-77
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    • 2021
  • This paper considers pseudo Jordan homomorphisms on module extensions of Banach algebras and triangular Banach algebras. We characterize pseudo Jordan homomorphisms on module extensions of Banach algebras and triangular Banach algebras. Moreover, we define pseudo derivations on the above stated Banach algebras and characterize this new notion on those algebras.

PROPER BI-SLANT PSEUDO-RIEMANNIAN SUBMERSIONS WHOSE TOTAL MANIFOLDS ARE PARA-KAEHLER MANIFOLDS

  • Noyan, Esra Basarir;Gunduzalp, Yilmaz
    • 호남수학학술지
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    • 제44권3호
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    • pp.370-383
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    • 2022
  • In this paper, bi-slant pseudo-Riemannian submersions from para-Kaehler manifolds onto pseudo-Riemannian manifolds are introduced. We examine some geometric properties of three types of bi-slant submersions. We give non-trivial examples of such submersions. Moreover, we obtain curvature relations between the base space, total space and the fibers.