• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제8권1호
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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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• 제7권2호
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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.

• Nonlinear Functional Analysis and Applications
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• 제28권4호
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• pp.1115-1125
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• 2023

This paper deals with the controllability of linear and nonlinear generalized fractional dynamical systems in finite dimensional spaces. The results are obtained by using fractional calculus, Mittag-Leffler function and Schauder's fixed point theorem. Observability of linear system is also discussed. Examples are given to illustrate the theory.

• 대한수학회보
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• 제48권5호
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• pp.1023-1032
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• 2011

In this paper, a new Ekeland type variational principle on gauge spaces is established. As applications, we give Caristi-Kirk type fixed point theorems on gauge spaces, and Dane$\check{s}$' drop theorem on seminormed spaces. Also, we show that the Palais-Smale condition implies coercivity on semi-normed spaces.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제17권3호
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• pp.205-209
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• 2010

We introduce the concept of semi-compatible and weak-compatible in $\cal{M}$-fuzzy metric space, and prove some fixed point theorem for four self maps satisfying some conditions in $\cal{M}$-fuzzy metric space.

• 대한수학회논문집
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• 제27권2호
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• pp.347-356
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• 2012

In this paper, we present a common fixed point theorem for multivalued maps on $M$-complete fuzzy metric spaces. Also, the single valued case and an illustrative example are given.

• 대한수학회논문집
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• 제28권3호
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• pp.517-526
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• 2013

We give a fixed point theorem for complete fuzzy metric space which generalizes fuzzy Banach contraction theorems established by V. Gregori and A. Spena [Fuzzy Sets and Systems 125 (2002), 245-252] using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1-9] in metric spaces.

• Journal of applied mathematics & informatics
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• 제2권1호
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• pp.17-24
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• 1995

In this paper we shall prove a new fuzzy continuous selec-tion theorem in a compact convex set and next a fixed point theorem for fuzzy mappings is established.

• 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.

• 대한수학회논문집
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• 제22권3호
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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.