Arcwise Connectedness of the Solution Sets for Generalized Vector Equilibrium Problems

Qiuying Li and Sanhua Wang
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Qiuying Li: College of Science and Technology, Nanchang University, Gongqingcheng 332020, China
Sanhua Wang: Department of Mathematics, Nanchang University, Nanchang 330031, China

Mathematics, 2021, vol. 9, issue 20, 1-9

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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