光滑流形上半无限规划的同胚最优性条件和对偶性

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.18

Dang Hoang Tam

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引用次数: 2

摘要

．本文研究光滑流形上的半无限规划问题。首先利用相关问题的同胚最优性条件，讨论了光滑流形上半无限规划的最优性条件。进一步，我们给出了流形上半无限规划的Lagrange, Mond-Weir和Wolfe型对偶性，并在φ - 1 -凸性假设下检验了弱对偶关系和强对偶关系。

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Homeomorphic optimality conditions and duality for semi-infinite programming on smooth manifolds

. In this paper, we explore the semi-inﬁnite programming on smooth manifolds. We ﬁrst discuss the optimality conditions for semi-inﬁnite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems. Further, we present Lagrange, Mond-Weir, and Wolfe type duality for the semi-inﬁnite programming on manifolds, and examine weak and strong duality relations under the ϕ − 1 -convexity assumption.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.