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Another approach to multiobjective programmingproblems with $F$-convex functions
Sanming Liu,Enmin Feng 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1-2
In this paper, optimality conditions for multiobjective programming problems having F-convex objective and constraint functions are considered. An equivalent multiobjective programming problem is constructed by a modification of the objective function. Furthermore, an F−Lagrange function is introduced for a constructed multiobjective programming problem, and a new type of saddle point is introduced. Some results for the new type of a saddle point are given.
FENCHEL DUALITY THEOREM IN MULTIOBJECTIVE PROGRAMMING PROBLEMS WITH SET FUNCTIONS
Liu, Sanming,Feng, Enmin 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.13 No.1
In this paper, we characterize a vector-valued convex set function by its epigraph. The concepts of a vector-valued set function and a vector-valued concave set function we given respectively. The definitions of the conjugate functions for a vector-valued convex set function and a vector-valued concave set function are introduced. Then a Fenchel duality theorem in multiobjective programming problem with set functions is derived.
ANOTHER APPROACH TO MULTIOBJECTIVE PROGRAMMING PROBLEMS WITH F-CONVEX FUNCTIONS
LIU, SANMING,FENG, ENMIN 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
In this paper, optimality conditions for multiobjective programming problems having F-convex objective and constraint functions are considered. An equivalent multiobjective programming problem is constructed by a modification of the objective function. Furthermore, an F-Lagrange function is introduced for a constructed multiobjective programming problem, and a new type of saddle point is introduced. Some results for the new type of a saddle point are given.
The saddle theorem for multiobjective generalized fractional programming problems with set functions
Sanming Liu,Enmin Feng 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1-2
In this paper, multiobjective generalized fractional programming problems with set functions are considered, in which objective functions are maximum of finite fractional set functions. At first, optimality conditions are established. Then, saddle existence theorem is proved.
Sleep deprivation disrupts the lacrimal system and induces dry eye disease
Sanming Li,Ke Ning,Jing Zhou,Yuli Guo,Houjian Zhang,Yu Zhu,Liying Zhang,Changkai Jia,Yongxiong Chen,Peter Sol Reinach,Zuguo Liu,Wei Li 생화학분자생물학회 2018 Experimental and molecular medicine Vol.50 No.-
Sleep deficiency is a common public health problem associated with many diseases, such as obesity and cardiovascular disease. In this study, we established a sleep deprivation (SD) mouse model using a ‘stick over water’ method and observed the effect of sleep deficiency on ocular surface health. We found that SD decreased aqueous tear secretion; increased corneal epithelial cell defects, corneal sensitivity, and apoptosis; and induced squamous metaplasia of the corneal epithelium. These pathological changes mimic the typical features of dry eye. However, there was no obvious corneal inflammation and conjunctival goblet cell change after SD for 10 days. Meanwhile, lacrimal gland hypertrophy along with abnormal lipid metabolites, secretory proteins and free amino-acid profiles became apparent as the SD duration increased. Furthermore, the ocular surface changes induced by SD for 10 days were largely reversed after 14 days of rest. We conclude that SD compromises lacrimal system function and induces dry eye. These findings will benefit the clinical diagnosis and treatment of sleep-disorder-related ocular surface diseases.