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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].
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.
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 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.
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.
FITASSIST: Stress Avoidance Through Posture Observation and Exercise Recommender
Ume-Kalsoom Waheed,Muhmmad Shahid,Atif Saeed,Riaz Ul Amin International Journal of Computer ScienceNetwork S 2025 International journal of computer science and netw Vol.25 No.5
Digital gadgets like desktop computers, laptops, and mobile phones have become an essential part of the modern life. Due to availability and ease of use of the high tech digital gadgets, everybody spends a lot of time on computers that can cause serious stress on a human body. Today most of the jobs involve staring at computer screens for hours. The computer specific jobs require people to continuously interact with the computer screen for at least 5 hours a day on average. Some offices take care of the computer ergonomics (science of designing a job, work space or equipment to fit the worker) but most of the employers and employees are unaware of this. The usage of these gadgets without proper body orientation can lead to eye, backbone, neck, and head stress. Long term use of these gadgets can cause side effects such as musculoskeletal problems, obesity, vision problems and stress disorders as well. This can be avoided by sitting in a correct posture and taking exercises of eyes and back at regular intervals. The objective of this study is to monitor the users posture, eye, and neck stress. The user will be suggested exercises and tips to practice at regular intervals. The proposed software will maintain a record of the users posture statistics that will be shown in the form of graphs. The results of application monitoring, blink rate, and posture statistics indicate that there is a considerable improvement and accuracy in the proposed model which also helps in improving users physical health and reducing mental stress.