Characterizations and Classification of Paraconvex Multimaps

Q4 Engineering

Control and Cybernetics Pub Date : 2022-09-01 DOI:10.2478/candc-2022-0019

Hocine Mokhtar-Kharroubi

引用次数: 0

Abstract

Abstract Paraconvex multimaps are revisited in normed vector space setting. A parallel is provided with the studies conducted for real valued paraconvex functions on generalized convexities and monotonicities. Several characterizations are then obtained. The links with some generalized convexities for multimaps are examined and a first classification is achieved. In addition, two representation results for 2-paraconvex multimaps are given.

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拟凸多映射的表征与分类

摘要重新研究了赋范向量空间下的仿凸多映射。本文给出了关于实值副凸函数在广义凸性和单调性上的并行研究。然后得到几个特征。研究了具有广义凸性的多映射链，并对其进行了第一类分类。此外，给出了2-副凸多映射的两个表示结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,