PSEUDOCONVEXITY

作品数:5被引量:8H指数:1
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相关期刊:《Science China Mathematics》《Chinese Annals of Mathematics,Series B》《Journal of the Operations Research Society of China》《Applied Mathematics》更多>>
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Optimality Conditions of Approximate Solutions for Nonsmooth Semi-infinite Programming Problems被引量:7
《Journal of the Operations Research Society of China》2018年第2期289-299,共11页Xian-Jun Long Yi-Bin Xiao Nan-Jing Huang 
This work was partially supported by the National Natural Science Foundation of China(Nos.11471059 and 11671282);the Chongqing Research Program of Basic Research and Frontier Technology(Nos.cstc2014jcyjA00037,cstc2015jcyjB00001 and cstc2014jcyjA00033);the Education Committee Project Research Foundation of Chongqing(Nos.KJ1400618 and KJ1400630);the Program for University Innovation Team of Chongqing(No.CXTDX201601026);the Education Committee Project Foundation of Bayu Scholar.
In this paper,we study optimality conditions of approximate solutions for nonsmooth semi-infinite programming problems.Three new classes of functions,namelyε-pseudoconvex functions of type I and type II andε-quasico...
关键词:Nonsmooth semi-infinite programming problem Optimality condition Approximate solution Generalized pseudoconvexity 
Solution Concepts and New Optimality Conditions in Bilevel Multiobjective Programming
《Applied Mathematics》2012年第10期1395-1402,共8页Francisque Fouodji Dedzo Laure Pauline Fotso Calice Olivier Pieume 
In this paper, new sufficient optimality theorems for a solution of a differentiable bilevel multiobjective optimization problem (BMOP) are established. We start with a discussion on solution concepts in bilevel multi...
关键词:Bilevel MULTIOBJECTIVE OPTIMIZATION MULTIOBJECTIVE OPTIMIZATION Sufficient Optimality Condition Strict CONVEXITY PSEUDOCONVEXITY QUASICONVEXITY 
Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity
《Applied Mathematics》2011年第10期1236-1242,共7页Mohamed Abd El-Hady Kassem 
The purpose of this paper is to introduce second order (K, F)-pseudoconvex and second order strongly (K, F)- pseudoconvex functions which are a generalization of cone-pseudoconvex and strongly cone-pseudoconvex functi...
关键词:MULTIOBJECTIVE Programming Second-Order Symmetric Dual Models DUALITY THEOREMS PSEUDOCONVEX Functions CONES 
COHOMOLOGY VANISHING IN HILBERT SPACES
《Chinese Annals of Mathematics,Series B》2004年第1期87-96,共10页J.KAJIWARA LIXIAODONG K.H.SHON 
Korea Research Foundation Grant (KRF-2001-015-DP0015).
The authors give two cohomology vanishing theorems for domains, which are not pseudoconvex, and characterize the holomorphy of domains with smooth boundaries in separable Hilbert spaces through cohomology vanishing.
关键词:Infinite dimension Cohomology vanishing PSEUDOCONVEXITY 
NEUMANN PROBLEM FOR OVERDETERMINED SYSTEM RELATED WITH ALMOST COMPLEX STRUCTURE被引量:1
《Science China Mathematics》1992年第7期780-790,共11页张锦豪 
Prcject supported by the National Natural science Foundation of China
In this paper we investigate an overdetermined system of differential equations, which is a generalization of both the Cauchy-Riemann equations and the Beltrami equation. The conditions under which the Neumann problem...
关键词:NEUMANN PROBLEM COMPLEX STRUCTURE pseudoconvexity. 
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