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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.
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.
김준석(Joohn-Sheok Kim) 전력전자학회 2009 JOURNAL OF POWER ELECTRONICS Vol.9 No.1
The design and implementation of a high performance PID (Proportional Integral & Differential) style controller with zero-phase error tracking property is considered in this article. Unlike a ball screw driven system, the controller in a direct drive system should provide a high level of tracking performance while avoiding the problems due to the absence of the gear system. The stiff mechanical element in a direct drive system allows high precise positioning capability, but relatively high tracking ability with minimal position error is required. In this work, a feasible position controller named ‘Unified PID controller’ is presented. It will be shown that the function of the closed position loop can be designed into unity gain system in continuous time domain to provide minimal position error. The focus of this work is in two areas. First, easy gain tunable PID position controller without speed control loop is designed in order to construct feasible high performance drive system. Second, a simple but powerful zero phase error tracking strategy using the pre-designed function of the main control loop is presented for minimal tracking error in all operating conditions. Experimental results with a s-curve based position pattern commonly used in industrial field demonstrate the feasibility and effective performance of the approach.
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.
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].