Optimality Conditions and Scalarization of Approximate Quasi Weak Efficient Solutions for Vector Equilibrium Problem
Joint Authors
Zhang, Yameng
Yu, Guolin
Han, Wenyan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP).
First, a necessary optimality condition for approximate quasi weak efficient solutions to VEP is established by utilizing the separation theorem with respect to the quasirelative interior of convex sets and the properties of the Clarke subdifferential.
Second, the concept of approximate pseudoconvex function is introduced and its existence is verified by a concrete example.
Under the assumption of introduced convexity, a sufficient optimality condition for VEP in sense of approximate quasi weak efficiency is also presented.
Finally, by using Tammer’s function and the directed distance function, the scalarization theorems of the approximate quasi weak efficient solutions of the VEP are proposed.
American Psychological Association (APA)
Zhang, Yameng& Yu, Guolin& Han, Wenyan. 2020. Optimality Conditions and Scalarization of Approximate Quasi Weak Efficient Solutions for Vector Equilibrium Problem. Complexity،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1139866
Modern Language Association (MLA)
Zhang, Yameng…[et al.]. Optimality Conditions and Scalarization of Approximate Quasi Weak Efficient Solutions for Vector Equilibrium Problem. Complexity No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1139866
American Medical Association (AMA)
Zhang, Yameng& Yu, Guolin& Han, Wenyan. Optimality Conditions and Scalarization of Approximate Quasi Weak Efficient Solutions for Vector Equilibrium Problem. Complexity. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1139866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139866