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- The properties of general convex sets and convex functions: E-convex sets and E-convex functions are investigated, a criterion of E-convex function is given. 摘要讨论了一类广义的凸集和凸函数：E-凸集和E-凸函数的若干性质，并给出E-凸函数的一个判别准则。
- Weak duality theorem is established under generalized convexity conditions. 在广义凸性条件下,建立了弱对偶性定理。
- Moreover, a series of inequalities for this two types of convex function are established, which generalizes famous inequalities for general convex functions. 讨论了这两类凸函数等价的条件,并建立了有关这两类凸函数一系列新的不等式,它们是通常的凸函数中某些著名不等式的推广。
- Convexity and generalized convexity of functions play an important role in mathematical programming and optimal theory. 摘要函数的凸性与广义凸性在数学规划以及最优化理论中起着非常重要的作用。
- Through all the paper, the optimality sufficient conditions and duality problems were discussed on basis of generalized convexity. 这篇论文在总体上沿着广义凸性的定义来展开讨论有效解的判别条件和对偶问题。
- Pseudolinear function as a generalized convex function has been studied extensively. 摘要伪线性函数作为一种广义凸函数已经被广泛的研究。
- This paper discusses four sufficient optimality conditions for nonsmooth continuous-time nonliear multiobjective optimization problems under generalized convexity assumptions. 在广义凸性假设下,讨论了非光滑连续时间非线性多目标优化问题的四个最优性充分条件。
- A new class of system of generalized vector quasi-equilibrium problems (SGVQEP) is introduced and studied in generalized convex spaces. 摘要该文在广义G-凸空间中引入并研究了一类新的广义矢量拟平衡问题组(SGVQEP)。
- In this thesis, the generalized convexity and their applications in optimization problems such as extremum problems, dual problems, Hahn-Banach theorems and system of vector quasi-equilibrium problems etc. 本文研究广义凸性及其在极值问题、对偶问题、Hahn-Banach定理和向量拟平衡系统问题等最优化问题中的一些应用。
- Gunner Jones was praised by the general. 炮手琼斯受到了将军的表扬。
- This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence. 摘要讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
- Please give me a general idea of the work. 请告诉我这项工作的梗概。
- My general impression was that it was quite good. 大致上我觉得那相当好。
- In this paper we would give a summary to the convexities of sets and functions to provoke people's researching interest to generalized convexity. 摘要对庞大的凸性家族给予轮廓性描述，以期引起同仁对各种非常规凸性研究的关注。
- The general decided to fly up to see his soldiers. 将军决定飞向北部去看看他的士兵们。
- Mr Powel has marked out a general course of action. 鲍威尔先生已经拟定了一个总的行动计划。
- The general has taken the helm of the states. 这位将军掌握了国家领导权。
- He was appointed the general consul of Japan. 他被任命为驻日本的总领事。
- Several Problems about the Generalized Convexity 广义凸性的几个问题
- He was exalted to the position of general manager. 他被提升到总经理的职位。
