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

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。
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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
CiteScore
3.80
自引率
6.20%
发文量
57
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.
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