On the Strong Convergence Theorems for Asymptotically Nonexpansive Semigroups in Banach Spaces

Shih-sen Chang,Liang Cai Zhao,Ding Ping Wu 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.1

Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are estab- lished. The results presented in this paper extend and improve some re- cent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133–2136; H. K. Xu. A strong convergence theoremfor contrac- tion semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371– 379; N. Shioji and W. Takahashi. Strong convergence theorems for con- tinuous semigroups in Banach spaces, Math. Japonica. 1(1999)57–66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansivemappings, J. Math. Anal. Appl. 211(1997)71–83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptot- ically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87–99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157–163.] Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are estab- lished. The results presented in this paper extend and improve some re- cent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133–2136; H. K. Xu. A strong convergence theoremfor contrac- tion semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371– 379; N. Shioji and W. Takahashi. Strong convergence theorems for con- tinuous semigroups in Banach spaces, Math. Japonica. 1(1999)57–66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansivemappings, J. Math. Anal. Appl. 211(1997)71–83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptot- ically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87–99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157–163.]

ON THE STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

Chang, Shih-Sen,Zhao, Liang Cai,Wu, Ding Ping The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.1

Some strong convergence theorems of explicit iteration scheme for asymptotically nonexpansive semi-groups in Banach spaces are established. The results presented in this paper extend and improve some recent results in [T. Suzuki. On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces, Proc. Amer. Math. Soc. 131(2002)2133-2136; H. K. Xu. A strong convergence theorem for contraction semigroups in Banach spaces, Bull. Aust. Math. Soc. 72(2005)371-379; N. Shioji and W. Takahashi. Strong convergence theorems for continuous semigroups in Banach spaces, Math. Japonica. 1(1999)57-66; T. Shimizu and W. Takahashi. Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211(1997)71-83; N. Shioji and W. Takahashi. Strong convergence theorems for asymptotically nonexpansive mappings in Hilbert spaces, Nonlinear Anal. TMA, 34(1998)87-99; H. K. Xu. Approximations to fixed points of contraction semigroups in Hilbert space, Numer. Funct. Anal. Optim. 19(1998), 157-163.]

Abundance and host-seeking activity of the biting midge, Forcipomyia taiwana (Diptera: Ceratopogonidae)

Chang-Liang Shih,Quei-Min Liao,Ya-Yuan Wang,Wu-Chun Tu 한국응용곤충학회 2019 Journal of Asia-Pacific Entomology Vol.22 No.4

The abundance and host-seeking activity of the biting midge, Forcipomyia taiwana (Shiraki), were measured in Central Taiwan at 418 locations with low, medium, and high densities using a human-bait method. Abundance estimates at 10 min after sampling commenced were comparable to longer sampling periods of 20 min, allowing a shorter 10 min sampling period to be used throughout. Host-seeking F. taiwana females were only active during daylight and biting activity did not occur after sunset. The diurnal activity of host-seeking females changed seasonally, beginning at around 07:00–08:00 during the spring equinox, summer solstice, and autumnal equinox, whereas activity began an hour later in winter. Most females were collected during 10:00–16:00, with a peak abundance during 13:00–15:00. Blood-sucking activity of female F. taiwana were positively correlated with ambient temperature with a minimum threshold of 18 °C. When different years, seasons, trapping times, environmental factors, and female adults trapped were analyzed using multiple regression model, the results showed that all these factors contributed to the regression model and the determination coefficient (R 2 ) of this multiple regression model was 0.81.

A generalized algorithm for the study of bilinear vibrations of cracked structures

Luo, Tzuo-Liang,Wu, James Shih-Shyn,Hung, Jui-Pin Techno-Press 2006 Structural Engineering and Mechanics, An Int'l Jou Vol.23 No.1

Structural cracks may cause variations in structural stiffness and thus produce bilinear vibrations to structures. This study examines the dynamic behavior of structures with breathing cracks. A generalized algorithm based on the finite element method and bilinear theory was developed to study the influence of a breathing crack on the vibration characteristic. All the formulae derived in the time domain were applied to estimate the period of the overall bilinear motion cycle, and the contact effect was considered in the calculations by introducing the penetration of the crack surface. Changes in the dynamic characteristics of cracked structures are investigated by assessing the variation of natural frequencies under different crack status in either the open or closed modes. Results in estimation with vibrational behavior variation are significant compared with the experimental results available in the literature as well as other numerical calculations.

Evaluation of Internal Costs and Benefits for Taiwanese Computer Manufacturers Adopting Green Supply Chains

Dun-Ji CHEN,Shih-Wu LIANG 한국해운물류학회 2012 The Asian journal of shipping and Logistics Vol.28 No.1

This study aims to explore internal cost variation in Taiwan’s computer industry after adopting green supply chains, and to calculate sales revenue difference with and without green supply chains, further estimating the so-called “green producer’s surplus.” that is the difference between the changes of revenue and product cost after adopting green supply chains. The multiple-output translog cost function is used to establish an empirical model based on the cost data of twelve listed companies in Taiwan. There are two kinds of outputs and four element prices considered in the empirical cost model. This study uses 2006, the year the associated environment directives were executed as the first year Taiwanese computer manufactures adopted green supply chains. The results of estimation show that, the internal cost of Taiwan’s computer industry increased 3.84% after adopting green supply chains in the European market, and the entire Taiwanese computer industry generated approximately NT$1.72 billion of producer’s surplus in 2006. Our major research contribution is to develop a valid cost function and the cost-benefit difference analysis to measure the associated changes in cost and revenue for the Taiwanese computer manufacture adopting green supply chains, and to prove the significant internal economic benefit gained by Taiwanese computer industry after implementing green supply chains.

Comprehensive profiles and diagnostic value of menopausal-specific gut microbiota in premenopausal breast cancer

Hou Ming-Feng,Ou-Yang Fu,Li Chung-Liang,Chen Fang-Ming,Chuang Chieh-Han,Kan Jung-Yu,Wu Cheng-Che,Shih Shen-Liang,Shiau Jun-Ping,Kao Li-Chun,Kao Chieh-Ni,Lee Yi-Chen,Moi Sin-Hua,Yeh Yao-Tsung,Cheng Chi 생화학분자생물학회 2021 Experimental and molecular medicine Vol.53 No.-

In Western countries, breast cancer tends to occur in older postmenopausal women. However, in Asian countries, the proportion of younger premenopausal breast cancer patients is increasing. Increasing evidence suggests that the gut microbiota plays a critical role in breast cancer. However, studies on the gut microbiota in the context of breast cancer have mainly focused on postmenopausal breast cancer. Little is known about the gut microbiota in the context of premenopausal breast cancer. This study aimed to comprehensively explore the gut microbial profiles, diagnostic value, and functional pathways in premenopausal breast cancer patients. Here, we analyzed 267 breast cancer patients with different menopausal statuses and age-matched female controls. The α-diversity was significantly reduced in premenopausal breast cancer patients, and the β-diversity differed significantly between breast cancer patients and controls. By performing multiple analyses and classification, 14 microbial markers were identified in the different menopausal statuses of breast cancer. Bacteroides fragilis was specifically found in young women of premenopausal statuses and Klebsiella pneumoniae in older women of postmenopausal statuses. In addition, menopausal-specific microbial markers could exhibit excellent discriminatory ability in distinguishing breast cancer patients from controls. Finally, the functional pathways differed between breast cancer patients and controls. Our findings provide the first evidence that the gut microbiota in premenopausal breast cancer patients differs from that in postmenopausal breast cancer patients and shed light on menopausal-specific microbial markers for diagnosis and investigation, ultimately providing a noninvasive approach for breast cancer detection and a novel strategy for preventing premenopausal breast cancer.