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Mathematics
Volume 9
Issue 20
10.3390/math9202532
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Article

Arcwise Connectedness of the Solution Sets for Generalized Vector Equilibrium Problems

by
Qiuying Li
1 and
Sanhua Wang
2,*
1
College of Science and Technology, Nanchang University, Gongqingcheng 332020, China
2
Department of Mathematics, Nanchang University, Nanchang 330031, China
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(20), 2532; https://doi.org/10.3390/math9202532
Submission received: 7 September 2021 / Revised: 29 September 2021 / Accepted: 1 October 2021 / Published: 9 October 2021
(This article belongs to the Special Issue Optimization Theory and Applications)
Versions Notes

Abstract

In this research, by means of the scalarization method, arcwise connectedness results were established for the sets of globally efficient solutions, weakly efficient solutions, Henig efficient solutions and superefficient solutions for the generalized vector equilibrium problem under suitable assumptions of natural quasi cone-convexity and natural quasi cone-concavity.
Keywords: generalized vector equilibrium problem; solution set; arcwise connectedness; natural quasi cone-convexity; natural quasi cone-concavity generalized vector equilibrium problem; solution set; arcwise connectedness; natural quasi cone-convexity; natural quasi cone-concavity

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MDPI and ACS Style

Li, Q.; Wang, S. Arcwise Connectedness of the Solution Sets for Generalized Vector Equilibrium Problems. Mathematics 2021, 9, 2532. https://doi.org/10.3390/math9202532

AMA Style

Li Q, Wang S. Arcwise Connectedness of the Solution Sets for Generalized Vector Equilibrium Problems. Mathematics. 2021; 9(20):2532. https://doi.org/10.3390/math9202532

Chicago/Turabian Style

Li, Qiuying, and Sanhua Wang. 2021. "Arcwise Connectedness of the Solution Sets for Generalized Vector Equilibrium Problems" Mathematics 9, no. 20: 2532. https://doi.org/10.3390/math9202532

APA Style

Li, Q., & Wang, S. (2021). Arcwise Connectedness of the Solution Sets for Generalized Vector Equilibrium Problems. Mathematics, 9(20), 2532. https://doi.org/10.3390/math9202532

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