Quasi Strongly $ E $-preinvexity and its relationships with non-linear programming

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2023-01-18 DOI:10.3934/naco.2023010

Akhlad Iqbal, Askar Hussain

引用次数: 1

Abstract

In this paper, we extend the class of strongly $E$-preinvex and strongly $E$-invex functions to quasi strongly $E$-preinvex, quasi strongly $E$-invex and pseudo strongly $E$-invex functions. Some nontrivial suitable examples have been constructed in support of our definitions. Several interesting properties and relationships of these functions are discussed. Furthermore, to show the application of our results, we consider a nonlinear programming problem and show that the local minimum point is also a strictly global minimum.

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拟强$ E $-先验性及其与非线性规划的关系

本文将强$E$-预凸函数和强$E$-逆函数扩展到拟强$E$-预凸函数、拟强$E$-逆函数和伪强$E$-逆函数。为了支持我们的定义，已经构造了一些重要的合适示例。讨论了这些函数的几个有趣的性质和关系。此外，为了证明我们的结果的应用，我们考虑了一个非线性规划问题，并证明了局部极小点也是一个严格的全局极小点。

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

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.