非光滑向量优化问题的局部拟有效解

IF 0.5 Q4 ECONOMICS

Croatian Operational Research Review Pub Date : 2019-12-18 DOI:10.17535/CRORR.2020.0001

Mohsine Jennane, L. E. Fadil, E. Kalmoun

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引用次数: 3

摘要

研究了在新的广义近似指数假设下非光滑向量优化问题的局部拟有效解。基于涉及Clarke广义雅可比矩阵的向量变分不等式的Stampacchia和Minty型，给出了充分最优性的必要条件。建立了局部拟弱有效解与向量临界点之间的关系。

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On local quasi efficient solutions for nonsmooth vector optimization problems

We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions. We formulate necessary and sufficient optimality conditions based on Stampacchia and Minty types of vector variational inequalities involving Clarke's generalized Jacobians. We also establish the relationship between local quasi weak efficient solutions and vector critical points.

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来源期刊

Croatian Operational Research Review ECONOMICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

22 weeks

期刊介绍： Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.