广义二阶G-Wolfe型分数对称规划及其在广义假设下的对偶关系

IF 1.3 Q3 ENGINEERING, MULTIDISCIPLINARY

International Journal of Mathematical Engineering and Management Sciences Pub Date : 2023-02-01 DOI:10.33889/ijmems.2023.8.1.009

Arvind Kumar, Rajnish Kumar, Naresh Kumar, Khursheed Alam, Ramu Dubey

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引用次数: 0

摘要

在本文中，我们提出了广义凸函数/拟凸函数的概念。我们给出了G-Wolfe型模型的二阶分式对称对偶程序的对偶结果。在下一节中，我们将解释在广义凸性/伪凸性假设下的对偶定理。我们确定了一个函数只存在于广义伪凸函数类中，而不存在于广义凸函数类。我们的结果是文献中几个已知结果的更广义结果。

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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Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions

In this article, we formulate the concept of generalize bonvexity/pseudobonvexity functions. We formulate duality results for second-order fractional symmetric dual programs of G-Wolfe-type model. In the next section, we explain the duality theorems under generalize bonvexity/pseudobonvexity assumptions. We identify a function lying exclusively in the class of generalize pseudobonvex and not in class of generalize bonvex functions. Our results are more generalized several known results in the literature.

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来源期刊

International Journal of Mathematical Engineering and Management Sciences Multiple-

CiteScore

3.80

自引率

6.20%

发文量

审稿时长

20 weeks

期刊介绍： IJMEMS is a peer reviewed international journal aiming on both the theoretical and practical aspects of mathematical, engineering and management sciences. The original, not-previously published, research manuscripts on topics such as the following (but not limited to) will be considered for publication: *Mathematical Sciences- applied mathematics and allied fields, operations research, mathematical statistics. *Engineering Sciences- computer science engineering, mechanical engineering, information technology engineering, civil engineering, aeronautical engineering, industrial engineering, systems engineering, reliability engineering, production engineering. *Management Sciences- engineering management, risk management, business models, supply chain management.