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INEXACT-NEWTON METHOD FOR SOLVING OPERATOR EQUATIONS IN INFINITE-DIMENSIONAL SPACES

  • Liu Jing;Gao Yan
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.351-360
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    • 2006
  • In this paper, we develop an inexact-Newton method for solving nonsmooth operator equations in infinite-dimensional spaces. The linear convergence and superlinear convergence of inexact-Newton method under some conditions are shown. Then, we characterize the order of convergence in terms of the rate of convergence of the relative residuals. The present inexact-Newton method could be viewed as the extensions of previous ones with same convergent results in finite-dimensional spaces.

Random completley generalized nonlinear variational inclusions with non-compact valued random mappings

  • Huang, Nan-Jing;Xiang Long;Cho, Yeol-Je
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.603-615
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    • 1997
  • In this paper, we introduce and study a new class of random completely generalized nonlinear variational inclusions with non-compact valued random mappings and construct some new iterative algorithms. We prove the existence of random solutions for this class of random variational inclusions and the convergence of random iterative sequences generated by the algorithms.

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RANDOM GENERALIZED SET-VALUED COMPLEMENTARITY PROBLEMS

  • Lee, Byung-Soo;Huang, Nan-Jing
    • Journal of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.1-12
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    • 1997
  • Complementaity problem theory developed by Lemke [10], Cottle and Dantzig [8] and others in the early 1960s and thereafter, has numerous applications in diverse fields of mathematical and engineering sciences. And it is closely related to variational inquality theory and fixed point theory. Recently, fixed point methods for the solving of nonlinear complementarity problems were considered by Noor et al. [11, 12]. Also complementarity problems related to variational inequality problems were investigated by Chang [1], Cottle [7] and others.

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Stability of Iterative Sequences Approximating Common Fixed Point for a System of Asymptotically Quasi-nonexpansive Type Mappings

  • Li, Jun;Huang, Nan-Jing;Cho, Yeol Je
    • Kyungpook Mathematical Journal
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    • v.47 no.1
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    • pp.81-89
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    • 2007
  • In this paper, we introduce the concept of a system of asymptotically quasinonexpansive type mappings. Furthermore, we define a $k$-step iterative sequence approximating common fixed point for a system of asymptotically quasi-nonexpansive type mappings and study its stability in real Banach spaces.

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A study on the Uses and Gratification of Micro-blog between PC and mobile for Chinese undergraduates students (중국대학생들의 미니블로그 이용과 충족 연구: 컴퓨터와 모바일기기 기반 웨이보(微博)서비스를 중심으로)

  • Tao, Jing;Kim, Se-hwa
    • Proceedings of the Korea Contents Association Conference
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    • 2013.05a
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    • pp.295-296
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    • 2013
  • 중국 대학생의 미니블로그 이용 시, 이용동기에 있어서 두 매체 모두 '정보공유', '자아존재감', '대인커뮤니케이션', '엔터테인먼트' 요인이 나타났으며, 모바일에서는 '유명인 접근성'요인이 추가적으로 나타났다. 충족요인에 있어서 두 매체 모두 '콘텐츠', '사회적 교류', '관계형성' 요인이 나타났으며, 두 매체의 차이로 PC의 '기능성', '편리성' 요인에 반해, 모바일에서는 '정보공유', '엔터테인먼트'요인이 나타났다.

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