Optimality of Approximate Quasi-Weakly Efficient Solutions for Vector Equilibrium Problems via Convexificators

Guolin Yu, Siqi Li (), Xiao Pan () and Wenyan Han ()
Additional contact information
Guolin Yu: School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, P. R. China
Siqi Li: School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, P. R. China
Xiao Pan: School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, P. R. China
Wenyan Han: School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, Ningxia, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2022, vol. 39, issue 05, 1-16

Abstract: This paper is devoted to the investigation of optimality conditions for approximate quasi-weakly efficient solutions to a class of nonsmooth Vector Equilibrium Problem (VEP) via convexificators. First, a necessary optimality condition for approximate quasi-weakly efficient solutions to problem (VEP) is presented by making use of the properties of convexificators. Second, the notion of approximate pseudoconvex function in the form of convexificators is introduced, and its existence is verified by a concrete example. Under the introduced generalized convexity assumption, a sufficient optimality condition for approximate quasi-weakly efficient solutions to problem (VEP) is also established. Finally, a scalar characterization for approximate quasi-weakly efficient solutions to problem (VEP) is obtained by taking advantage of Tammer’s function.

Keywords: Vector equilibrium; approximate solutions; convexificators; optimality conditions; scalarization (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595921500470
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:39:y:2022:i:05:n:s0217595921500470

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0217595921500470

Access Statistics for this article

Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao

More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().