• Journal of applied mathematics & informatics
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• v.9 no.2
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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.

• Korean Journal of Mathematics
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• v.11 no.2
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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.

• Bulletin of the Korean Mathematical Society
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• v.47 no.4
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• pp.805-813
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• 2010

In this paper, we apply Bohnenblust-Karlins fixed point theorem to prove the existence of solutions for a class of fractional differential inclusions with separated boundary conditions. Some applications of the main result are also presented.

• Communications of the Korean Mathematical Society
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• v.22 no.3
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• pp.429-440
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• 2007

In this paper, a common fixed point theorem for weak compatible maps in complete fuzzy metric spaces is proved.

• Bulletin of the Korean Mathematical Society
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• v.36 no.1
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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.

• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.223-231
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• 1999

In this paper we prove the existence of solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal conditions. The results are obtained by using compact semigroups and the Schauder fixed point theorem.

• Journal of the Chungcheong Mathematical Society
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• v.18 no.1
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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.

• Journal of applied mathematics & informatics
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• v.5 no.3
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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.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.8 no.1
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• pp.41-54
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• 2004

Sufficient conditions for the controllability of neutral functional integrodifferential systems with infinite delay in Banach space are established by means of the Schaefer fixed point theorem.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.7 no.2
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• pp.23-34
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• 2003

In this paper we establish a set of sufficient conditions for the controllability of perturbed integrodifferential systems with prescribed controls by using the Schaefer fixed point theorem.