• 제목/요약/키워드: Fixed Point Theorem

검색결과 530건 처리시간 0.022초

CONTROLLABILITY OF STOCHASTIC VOLTERRA INTEGRODIFFERENTIAL SYSTEMS

  • Subramaniam, R.;Balachandran, K.
    • Journal of applied mathematics & informatics
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    • 제9권2호
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    • pp.753-759
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    • 2002
  • In this paper, sufficient conditions for the controllability of stochastic integrodifferential systems in Banach spaces are established. The results are obtained by using a fixed point theorem. An example is provided to illustrate the theory.

A FIXED POINT THEOREM FOR ASYMPTOTICALLY C-CONTRACTIVE MAPPINGS

  • Park, Jong An
    • Korean Journal of Mathematics
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    • 제11권2호
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    • pp.111-115
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    • 2003
  • Under some asymptotical conditions we obtain a fixed point theorem for a mapping(not necessarily nonexpansive) from an unbounded closed convex subset of a reflexive Banach space into itself. Also we give an example for applying it.

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CONTROLLABILITY OF SECOND ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES

  • Balachandran, K.;Park, J.Y.;Anthoni, S.-Marshal
    • 대한수학회보
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    • 제36권1호
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    • pp.1-13
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    • 1999
  • Sufficient conditions for controllability of semilinear second order Volterra integrodifferential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.

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BILINEAR SYSTEMS CONTROLLER DESIGN WITH APPROXIMATION TECHNIQUES

  • Lee, Sang-Hyuk;Lee, Keonhee
    • 충청수학회지
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    • 제18권1호
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    • pp.101-116
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    • 2005
  • Using the iterative method, we derive an controller realization of the bilinear system, which is resulted from the system reformulation. We utilize Banach Fixed Point Theorem to support proposed controller, and the simulation results are also illustrated to verify usefulness of this technique.

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ON A NEW EXISTENCE OF EQUILIBRIUM IN SSC

  • Kim, Won-Kyu;Yuan, George-Xian-Zhi
    • Journal of applied mathematics & informatics
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    • 제5권3호
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    • pp.607-614
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    • 1998
  • In this note we shall give a new existence theorem of equilibrium in social systems with coordination under general assump-tions by using the Kakutani fixed point theorem.