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SOME EXISTENCE THEOREMS GENERALIZING FIXED POINT THEPREMS ON COMPLETE METRIC SPACES
Jeong, Sheok-Ume 國立 昌原大學校 基礎科學硏究所 1994 基礎科學硏究所論文集 Vol.6 No.-
In this paper, we shall prove an existence theorem extending the nonconvex minimization theorem according to Takahashi, which generalizes Caristi's fixed point theorem, Ekeland's ε-variational principle, and Nadler's fixed point theorem.
The Institute for Basic Science Changwon national University
Ume, Jeong-Sheok 昌原大學校 基礎科學硏究所 1997 基礎科學硏究所論文集 Vol.9 No.-
We give a generalized contraction for three selfmappings S, T and U extending a generalized contraction for two selfmappings S and T and we obtain a common unique fixed point theorem containing the result of Ume et al. [3].
SOME EXISTENCE THEOREMS GENERALIZING FIXED POINT THEOREMS ON COMPLETE METRIC SPACES
UME, JEONG-SHEOK 國立昌原大學校 基礎科學硏究所 1992 基礎科學硏究所論文集 Vol.3 No.-
In this paper, we shall prove a existence theorem extending the nonconvex minimization theorem according to Takahashi, which generalize Caristi's fixed point theorem, Ekeland's ε-variational principle, and Nadler's fixed point theorem.
Existence Theorems for Generalized Distance on Complete Metric Spaces
Hindawi Publishing Corporation 2010 Fixed point theory and applications Vol.2010 No.1
<P>We first introduce the new concept of a distance called u-distance, which generalizes w-distance, Tataru's distance, and τ-distance. Then we prove a new minimization theorem and a new fixed point theorem by using a u-distance on a complete metric space. Our results extend and unify many known results due to Caristi, Ćirić, Ekeland, Kada-Suzuki-Takahashi, Kannan, Ume, and others.</P>
Some Fixed Point Theorems in Banach Spaces
Ume,Jeong-Sheok 國立 昌原大學校 産業技術硏究所 1987 産技硏論文集 Vol.1 No.-
K. Goebel과 E. Zlotkiewicz는 Banach 空間에서 Lipschitzian 函數가 不動點을 가질 條件을 발견하고 S. park는 Lipschitzian 函數보다 확장된 The modulus of convexity라는 函數를 이용하여 不動點을 얻었으며 본 논문에서는 The modulus of convexity 보다 더 확장된 The b-modulus of convexity라는 函數를 이용하여 같은 결과를 얻었다.
Common Fixed Point Theorems on Orbitally Complete Metric Spaces
UME, J.S.,SHIN, Y.H. 昌原大學校 基礎科學硏究所 1995 基礎科學硏究所論文集 Vol.7 No.-
이 논문에서는 Dien의 부동점 정리를 일반화한 궤도적 완비거리 공간에서 공통 부동점 정리를 증명한다.
Asymptotic Behavior of Semigroups of Qusi Contactions in Banach Space
Ume, Jeong-Sheok 國立 昌原大學校 産業技術硏究所 1989 産技硏論文集 Vol.3 No.-
Let T:X→X be a mapping of a Banach Space X into itself. A mapping T will be called a quasi contraction iff ㅣTnχ-Tnyㅣ=<aㅣx-yㅣ+bㅣχ-Tmyㅣ for some a+b=<1, allχ,y∈X and all m,n>=1. In the present paper the mappings of this kind are investigated. The results presented here show that the condition of quasi contraction implies all conclusions of Reich's nonexpansion principle.
Some Remarks on Dien's Common Fixed Point Theorems
Ume, Jeong-Sheok,Jin, Yang-Il 昌原大學校 基礎科學硏究所 1996 基礎科學硏究所論文集 Vol.8 No.-
이 논문에서는 Dien의 부동점 정리를 일반화한 궤도적 연속 함수에 대한 공통 부동점 정리를 증명한다.
Extension of Common Fixed Point Theorems of Pant
Ume,Jeong-Sheok 昌原大學校 基礎科學硏究所 1998 基礎科學硏究所論文集 Vol.10 No.-
Compatible mapping을 이용하여 공통부동점정리들을 얻었다. 이러한 결과들은 지금까지 알려진 많은 공통부동점정리들을 일반화한 것이다.